Damon, 42, and Barroso are said to be arranging a big celebration of their marriage in a romantic setting after having a private ceremony in 2005, reported Digital Spy.
"They had a really low-key wedding in Manhattan, so now they want to do something bigger," a source said.
The couple raise four daughters together - Alexia, 14, Isabella, six, Gia, four, and two-year-old Stella.
Damon recently said that he gets a fulfilment from his marriage to Barroso that he never achieved in previous relationships.
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