updated 08/01/2012 AT 9:30 AM ET
•originally published 08/01/2012 AT 2:30 PM ET
Kutcher, 34 (who in November split from wife of six years Demi Moore), and Kunis, 28, are taking a break from Hollywood to spend some one-on-one time at a five-star resort on the island’s southern peninsula, according to the New York Post.
Some perks of their luxury suite: a sunken indoor bathtub, a private pool and a wooden four-poster bed.
Only last month, the couple put on a public display of affection at Kutcher’s Jobs movie wrap party in Los Angeles. They “appeared to be lighthearted and in good spirits, and hardly left each other’s side,” an onlooker told PEOPLE. “They stayed within five feet of each other practically the entire evening. It looked like young love.”
Back in L.A. on Monday, Moore, 49, hung with Rachel Weisz and Daniel Craig for a Bourne Legacy party at the Four Seasons, says the Post.