Multiple publications including Entertainment Tonight, Just Jared and The Daily Mail reported that the engaged couple were in the Spanish island for a "wedding weekend," and they were spotted enjoying a party with close friends and family on Friday the 13th of October.
Alicia wore a boho white dress and oversized white love-heart sunglasses, while Michael was laid-back in an undone Hawaiian shirt and shorts for the pre-wedding celebrations.
The Daily Mail has reported that the couple tied the knot on Saturday the 14th of October, following several days of festivities. The publication has shared photos from a brunch that took place the day after the ceremony, in which the pair could be seen wearing wedding rings.
Michael could be seen wearing a new gold band on his ring finger, which had been bare the days before. Meanwhile, Alicia's engagement ring appears to be accompanied by a new wedding band, too.
The notoriously low-key couple began dating in 2014, falling in love as they filmed the drama Light Between The Oceans.
"We had met at Toronto Film Festival and just on the dance floor," Alicia told ET last year, before Michael chimed in: "I thought I was a good dancer until she started dancing and then I felt like I had two left feet."
The couple then "properly" met during rehearsals for their film, with Michael saying their chemistry "was sort of there from the beginning."
Congratulations to the couple! We're so happy for them.
See all the photos on the Daily Mail here.