"She is jetting to the Caribbean on Tuesday and has asked Jude if he would like to join her," the Sun quoted a source as saying. The insider added: "He's very much considering the proposal and would love to take up the opportunity but has a number of other considerations - not least his kids."
Seemingly, the two have rekindled their relationship after spending time together in New York, where they were present to perform in different Broadway plays. The source said: "Jude and Sienna have rekindled their affections for each other in the past few months. It's early days so far but there still remains a bond between them.
"Sienna was stung by the vitriol she attracted on Broadway and turned to Jude for sympathy and advice. He was happy to oblige and they spent many an hour sharing their feelings."
Law and Miller had split in 2006 after the actor"s affair with his children"s nanny was exposed. Law has three children with ex-wife Sadie Frost.