Hayden Panettiere and Wladimir Klitschko
Sean Zanni/Patrick McMullan via Getty
December 08, 2016 02:05 PM

Actress Hayden Panettiere and Wladimir Klitschko are doing well.

“Hayden and Wladimir are in a good place and having a great time raising their daughter,” a Florida source tells PEOPLE of the Ukrainian heavyweight and the Nashville star, who this year had to confront reports of a rift in her relationship.

Add the source: “Her previous problems were never with him. She is doing great, and they are very happy as a couple and family.”

The parents of 2-year-old Kaya attended several Art Basel events with their little girl last week while staying at Klitschko’s oceanfront penthouse condo on Hollywood Beach, where they spent the days enjoying the sun, paddle boarding and beach combing. 

They were even photographed making a rare public appearance at the Daily Front Row party, where an attendee tell PEOPLE they “were together and very loving. They were holding hands, his arms were around her while they were watching the beginning of one of the art shows on the ceiling of the [Faena Art Dome on Miami Beach].”

RELATED VIDEO: Hayden Panettiere Squashes Relationship Troubles to Rest With Tweet

Adds the event-goer, “They looked very much in love and happy.”

“Hayden loves Wladimir,” an industry source tells PEOPLE of Panettiere, 27, and Klitschko, 40. “They get along best when they are together. It is frustrating when he has to travel around the world for his career while she needs to be here for hers. That is tough on any couple. But they are happy and love their daughter.”

As for reports of turbulence in Hayden’s life due — stemming in part from postpartum depression — sources tell PEOPLE that things are under control.

The industry source tells PEOPLE: “Hayden is doing well and getting her life back.”

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