The Chelsea footballer has asked the 'Fight For This Love' singer to go on "one last move" with him as he starts a new career with Real Madrid, according to The Sun.
"Ashley has told friends he sees his future abroad and he wants to persuade Cheryl to come with him," a source claimed.
"It all boils down to what Cheryl wants, but the early signs are she would be up for the idea," the insider added.
Since Cheryl's departure from The X Factor USA, reports have suggested that she has reunited with Ashley.
"She's found living in the UK to be fraught, especially with so much 'negativity' towards her now," a supposed friend said.
"But abroad, she could lead her life at her own pace. That's appealing to say the least," the source added.