Rumer Willis steps out with musician Derek Richard Thomas for casual lunch date in Beverly Hills

Rumer Willis and musician Derek Richard Thomas were spotted on Wednesday enjoying a casual lunch date in Beverly Hills, California.

The 33-year-old actress wore a knee-length pink summer dress along with white socks and sneakers for their lunch outing to the Burger Lounge.

Rumer had her long curly red hair down around her shoulders and accessorized with sunglasses.

The daughter of Bruce Willis, 67, and Demi Moore, 59, carried a black purse and held a leash while walking her dog with Vista Kicks singer Derek.

Derek kept it simple in an all-black outfit that included a T-shirt, jeans and matching boots.

They were seen laughing and smiling as they enjoyed spending time with each other.

Rumer’s father Bruce meanwhile was photographed on Wednesday while stepping out to meet a friend for a meal at an IHOP – International House of Pancakes – restaurant in Los Angeles.

Several members of the retired actor’s family recently celebrated him on Father’s Day.

It was Bruce’s first time marking the holiday since announcing his retirement from acting and his diagnosis with aphasia.

The two-time Emmy Award winner’s wife Emma Heming, 46, shared a sweet snap on Instagram  in which she was seen with Bruce and their daughters Mabel, 10, and Evelyn, eight.

Bruce also has daughters Scout, 30, and Tallulah, 28, whom he shares with his ex-wife Demi Moore, 59.

At the end of March, news broke that Bruce was withdrawing from acting because of the brain condition.

An insider told People his family was ‘doing whatever they can’ for him and ‘have rallied around him in a big way to help Bruce cope with what is to come.’