Demi Moore, 60, arrives at her Paris hotel cradling a puppy as she is seen for the first time since her ex Bruce Willis made a rare public outing amid his dementia diagnosis

Demi Moore was seen arriving at her Paris hotel hours after her ex-husband Bruce Willis made a rare public outing amid his battle with dementia.

The actress, 60, and her former partner, 68, remain close friends and share three daughters — Rumer, 35, Scout, 32, and Tallulah, 29.

The family have rallied around the Die Hard actor after he was diagnosed  with Frontotemporal dementia (FTD) – an uncommon form of dementia that causes a deterioration in behaviour, personality and language.

They publicly revealed his condition in February of this year and his wife Emma Heming recently gave a heartbreaking update on his ongoing battle with dementia.

The Hollywood icon was seen in the passenger seat of a car in Los Angeles, on Monday – the same day that Emma, 45, revealed it’s ‘hard to know’ if he is even aware of what is happening to him health-wise.

Stepping out: Demi Moore was seen arriving at her Paris hotel hours after her ex-husband Bruce Willis made a rare public outing amid his battle with dementia

Rare sighting: The Hollywood icon was seen in the passenger seat of a car in Los Angeles , on Monday – the same day that Emma, 45, revealed it’s ‘hard to know’ if he is even aware of what is happening to him health-wise

The sighting came just hours before Demi stepped out in Paris during Fashion Week, as she was seen arriving at her hotel with a puppy scooped in her jacket.

The A-lister made a low-key arrival and looked downcast she she stepped out in the French capital on Tuesday. She was cuddling her pet Chihuahua Pilaf.

She was bundled up in an oversized black blazer, which she was wearing with jeans and a pair of boots.

During his outing in LA, Bruce was sporting a quilted navy jacket and a matching navy hat, the actor was seen sitting with the passenger window down as he was driven around his home town in what has become an increasingly rare public outing amid his ongoing health struggles.

Emma fought back tears while she opened up about how she and her two daughters with the actor are coping with the ‘grief and the sadness’ of watching the actor’s health decline in an interview on the Today show.

‘What I’m learning is that dementia is hard,’ she said, during an appearance at the show’s New York studio. ‘It’s hard on the person diagnosed. It’s also hard on the family. And that is no different for Bruce or myself or our girls.

‘And when they say that this is a family disease, it really is.’

Out and about: The sighting came just hours before Demi stepped out in Paris during Fashion Week, as she was seen arriving at her hotel with a puppy scooped in her jacket

Stylish: Kate Moss was also seen stepping out in the French capital

Back on: She was seen with her boyfriend Nikolai von Bismarck

Inspirational: In an emotional interview on the Today show that day, Bruce’s devoted wife said it was ‘hard to know’ if he was aware of what was happening to her husband health-wise

The family: Bruce’s daughters Scout and Tallulah showed their support to Emma after the interview (L-R) Rumer Willis, Demi Moore, Bruce Willis, Scout, Emma and Tallulah in 2019

When asked how she went about explaining his illness to their children, she said: ‘I think it’s always been… we’re a very honest and open household.

‘And, the most important thing was to be able for us to say what the disease was, explain what it is because when you know what the disease is from a medical standpoint it sort of all makes sense.

‘So it was important that we let them know what it is because, you know, I don’t want there to be any stigma or shame attached to their dad’s diagnosis, or for any form of dementia.’

When asked by host Hoda Kotb if he is aware of what is happening to him, Emma paused and revealed: ‘Hard to know’.

But despite the difficulty of caring for her husband, she said receiving a diagnosis has made life ‘easier’.

‘I think it was the blessing and the curse. You know, to sort of finally understand what was happening so that I can be into the acceptance of what is.

‘It doesn’t make it any less painful, but just being in the acceptance and just being in the know of what is happening to Bruce just makes it a little bit easier.

Proud: Taking to Instagram to reshare a behind-the-scenes clip of Emma’s interview, Scout, 32, wrote: ‘I truly could not be more proud of @emmahemingwillis’

Strong: The youngest of Bruce and Demi’s children Tallulah, 29, posted on her Instagram stories her older sister’s words with the caption: ‘So proud of my family’

Emotional: Emma fought back tears during her appearance on Today on Monday morning

‘There is so many beautiful things happening in our lives. It is just really important for me to look up from the grief and the sadness so that I can see what is happening around us,’ Emma added.

In a particularly touching moment, Hoda asked Emma what she thinks Bruce is teaching their girls as they all come to terms with his illness as a family.

‘Honestly, he is the gift that keeps on giving. Love, patience, resilience, so much…’ Emma said.

‘And he’s teaching me and our whole… I mean, you know, for me to be out here doing this, this is not my comfort zone, but this is the power of Bruce.’

Hoda continued: ‘I have heard from people that have an ailing family member, and I remember this from a friend of mine… she said, “my husband’s diagnosis made my kids better people”. Is that what you’re noticing?’

‘That is what I’m noticing,’ Emma replied. ‘Listen, I think my kids would be great no matter what! And this is not what I would want for them. But really, like I said, it is teaching them so much and how to care and love and it’s a beautiful thing amongst the sadness.’

She confirmed that she refers to herself as Bruce’s ‘care partner’ as opposed to his ‘caretaker’, and also noted the importance of taking care of herself as well.

‘It’s so important to ask for help and support. And you can look to organizations like the AFTD, like Hilarity For Charity… it is sort of a great starting point.

‘And it’s important for care partners to look after themselves so that they can be the best care, partner for the person that they’re caring for,’ she added.