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Rumer Willis spent a good chunk of the weekend hitting the town with Glenn Close.

But not really in the way she has been known to do with her mom, Demi Moore.

Willis and the Albert Nobbs Oscar nominee not only had dinner together on Saturday night in West Hollywood, but they were also spotted last night at People magazine’s SAG Awards after party and later at Chateau Marmont.

Turns out that…

READ: Demi Moore: “She’s Doing Great,” Says Director Pal

Willis is pals with Close’s daughter, Annie Starke, who was also with them for the festivities.

The two became close last year when they did a month-long run costarring in the Off-Broadway hit, Love, Loss, and What I Wore, in New York City.

Back in October, Starke tweeted that she and Willis “went to the most ridiculous bar ever.”

“It involved flying oompa loompas,” she wrote, referring to the live entertainment of Beacher’s Madhouse at the Hollywood Roosevelt Hotel.

A couple of days later, Starke tweeted Willis a photo of a Chihuahua.

Most recently, just a day before Moore was rushed to a hospital, a mutual friend tweeted them, “Dinner soon.”

Starke responded, “I’m in. Name the time and the place lady.”

Dinner and a party or two? Sounds perfect to us.

Especially if you’re hoping to get your mind off of things for a while.

PHOTOS: Famous Families

Moore, 49, is thought to have suffered a seizure after inhaling nitrous oxide – commonly known as laughing gas – and “smoking something” while hosting a dinner party at her home in Los Angeles.

Emergency services were called after guests found her barely conscious on the floor, convulsing, shaking and “burning up”.

Demi Moore’s daughter Rumer Willis is now believed to have also been at the house while her mother suffered the episode.

In 911 recordings of the incident, a man can be heard calling: “Hey Rue. What’s the name at the gate so that we can buzz them in from here?”

Any mention of the type of drug or medication was redacted from emergency recordings before its release, but somebody was heard telling the operator: “She smoked something. It’s not marijuana, but it’s similar to incense.”

Miss Willis, who uses the nickname Rue on her Twitter page, has been spending more time with her mother since she separated from Ashton Kutcher last year, following claims of his infidelity.

A friend of the 23 year-old told People magazine: “Rumer’s spent more time with her mum in the last few months that she has in a while.”

Miss Willis was recently photographed outside the Sherman Oaks Hospital in Los Angeles, where her mother is still recovering from what her representatives say is “exhaustion”.

From left: Rumer Willis, Annie Starke and Glenn Close on Jan. 28

Following Demi Moore’s hospitalization last week and decision to seek professional treatment for exhaustion, her daughter – and frequent party companion – was in full social mode, enjoying a busy weekend out and about in Los Angeles.

On Saturday night, Willis, 23 – who was apparently on hand when Moore’s friends called 911 after the actress had an apparent seizure – stepped out for dinner at Comme Ça, joined by her friend Annie Starke, Annie’s mother Glenn Close and Close’s husband David Shaw.

Seated at a table in the front of the restaurant, the four ordered cocktails, clinked glasses and chatted. Rumer seemed happy and cheerful at times, but also sometimes looked concerned as though she were telling a serious story. Rumer held on tightly to her phone throughout the entire meal and frequently became engrossed in typing on it.

Rumer seemed “fine” an observer told PEOPLE. “She was sweet.” The party of four “were all very gracious the whole time,” the observer added.

Willis, Starke and Close spent Sunday evening together as well, at the Screen Actors Guild Awards gala at the Shrine Auditorium, where Willis and Starke roamed the party and sipped champagne. They seemed particularly interested in checking out Brad Pitt and Angelina Jolie, making their way to the couple’s area and watching as they were escorted out of the party.

Before making her exit, Rumer stopped to hug pal Mark Salling and got a kiss on the cheek from the Glee actor. And Willis kept the party going, ending her night at West Hollywood’s Chateau Marmont.

Rumer Willis didn’t want to miss out on the SAG 2012 celebrations and so she reportedly snuck into the official after party over the weekend.

According to Us Weekly, the 23-year-old actress was a part of the official after party for the Screen Actors’ Guild Awards that was held in a tent outside the Shrine Auditorium in Los Angeles.

An observer told the celebrity mag that Rumer Willis kept a low profile and that she didn’t want anyone at to see her.

“Rumer was like an apparition — she just slipped in with a friend and then was gone,” a SAG 2012 partygoer told Us Weekly. “She looked like she was walking on eggshells…She was just weaving through the crowd.”

Rumer Willis’ mother Demi Moore was hospitalized last week, after experience seizure-like symptoms and falling semi-unconscious. Reports were that the 49-year-old actress inhaled nitrous oxide or did “whip-its.”

Us Weekly reported that speculations are that Rumer Willis was among those who were present at Moore’s home last Monday when the shocking 911 was made. Moore suffered “convulsions” after she “smoked something,” a female caller told the emergency dispatcher.

Rumer Willis ended the week on a high note, hitting up Hollywood parties Sunday night, just days after her mother Demi Moore was rushed to the hospital, and RadarOnline.com has the photos of her all glammed up for the night.

With her auburn hair stylishly curled, the 23-year-old daughter of Demi and Bruce Willis, went to the Screen Actor’s Guild Awards after party at the Chateau Marmont in a long black dress and black overcoat.

PHOTOS: Rumer Willis Gets Her Party On

As RadarOnline.com previously reported, Rumer was apparently in the house when her mother had a seizure on January 23 and 9-1-1 was called for an ambulance to help the 49-year-old actress. 

Rumer and her mother were spotted out recently partying in Hollywood, just days before Demi was admitted to the hospital after “smoking something” and “having convulsions.”

PHOTOS: Ashton Catches Bruno Mars Show As Demi’s Rushed To The Hospital

The dutiful daughter looked like she put aside her family drama for the evening and enjoyed a fun night out with friends in Hollywood.

Rumer and her mother are very close and have appeared in two films together, Now and Then and Striptease back in the 90s.

PHOTOS: Demi Moore Scary Skinny

Demi is reportedly seeking treatment for substance abuse and anorexia. Concerned friends have said that she is taking the prescription drug Adderall and isn’t eating.

Rumer Willis definitely didn’t want to be the belle of the ball on Sunday night.

Less than a week after her mom Demi Moore‘s terrifying hospitalization, the actress, 23, snuck into the official after party for the Screen Actors’ Guild Awards held in a tent outside the Shrine Auditorium in Los Angeles.

PHOTOS: How Demi got scary skinny as her life unraveled

The star was “keeping a crazy low profile,” an observer confirms to Us Weekly. “She definitely didn’t want anyone to see her.”

No wonder. It’s been widely speculated that Rumer was among those present at her 49-year-old mom’s home last Monday when frantic pals called 911. (At one point during the call, one woman seems to call out Rumer’s nickname “Ru.”) Newly single since her painful split from Ashton Kutcher last November, Moore suffered “convulsions” and after she “smoked something,” a female caller informed a 911 dispatcher on the chilling tape.

AUDIO: Hear the 911 call

“Rumer was like an apparition — she just slipped in with a friend and then was gone,” the SAGs reveler says. “She looked like she was walking on eggshells…She was just weaving through the crowd.”

Rumer (the eldest of three daughters Moore has with ex-husband Bruce Willis) had been her mom’s frequent party pal out and about in Hollywood in the weeks leading up to Moore’s medical — and emotional — crisis.

PHOTOS: Star meltdowns

“Because of the stresses in her life right now, Demi has chosen to seek professional assistance to treat her exhaustion and improve her overall health,” her rep said last Tuesday.

Rumer Willis returned to the Hollywood party scene last night … slinking into a SAG Awards after-party just 6 days after her mother partied her way into the hospital last week.

Rumer — who was at her mom’s home when Demi went into a semi-conscious, convulsive state last Monday — was seen entering the legendary Chateau Marmont hotel on the Sunset Strip last night … by herself.

As we previously reported, Rumer and Demi had been partying together in Hollywood just 2 weeks before Demi’s medical emergency.

We’re told Demi is still receiving treatment for substance abuse.