Gwyneth Paltrow
Gwyneth Paltrow and Brad Falchuk are spending quality time together in ItalyJason Merritt/Getty Images

Academy Award-winning actress Gwyneth Paltrow and her rumoured boyfriend Brad Falchuk, the co-creator of the hit comedy-drama, Glee, were pictured spending quality time together in Italy.

According to the images obtained by Us Weekly, the 41-year-old Shakespeare In Love actress and the 44-year-old television writer, who is best known for co-creating the television series Glee and American Horror Story, were spotted in the Italian resort of Positano.

A source told E! News that Chris Martin's estranged wife looked "happy, radiant, with a big smile on her face," adding that she looked "stunning."

"She was fêted upon arrival not only by the restaurant owner, Sergio Bella, but also by everyone who was at the small sandy cove restaurant, where you eat on what looks like a precariously-built rustic wooden platform where the well-heeled of Europe lunch with their feet in the sand and where you can only basically arrive by boat," the insider added.

"Here, sitting at one of the tables she enjoyed the view of Capri across the gulf. The place is paradise and she was soaking it," the source continued.

In March 2014, the Iron Man actress posted a message titled Conscious Uncoupling to her lifestyle website GOOP, announcing that she and the 37-year-old Coldplay frontman were separating, after ten years of marriage.

However, the former couple have remained close for their two children, Apple and Moses.

Rome! #mirabiliaromae @maisonvalentino ❤️❤️❤️

A photo posted by Gwyneth Paltrow (@gwynethpaltrow) on

Buongiorno Positano, piccolo gioiello ??

A photo posted by Gwyneth Paltrow (@gwynethpaltrow) on