The actor was first linked to Amato after commenting on a number of her bikini pictures which had been posted on Instagram. One of the comments read: "You are so freakin' beautiful," while in another he told her: "You are perfect".
Amato reportedly dated Leonardo DiCaprio for a brief time back in 2015.
After Claflin and Haddock's marriage ended, she went on to find love with fellow actor Tom Rhys-Harries, whom she met on the set of Netflix series White Lines, where they played siblings Zoe and Axel Collins.
At the time of the split, the exes insisted they still had a deep friendship despite going their separate ways. Claflin announced the news in a statement, which read: "Laura and I have decided to legally separate. We will move forward with nothing but love, friendship and a deep respect for one another, whilst we continue to raise our family together.
"We won't be commenting on this further. Thank you in advance for your support and respecting our privacy at this time."