The Blackpool star has been heavily linked with a move to the Premier League since the summer of 2012, but he's yet to make the leap up a division.
Liverpool, the club Ince left in 2011 for Blackpool after failing to make the first-team grade, have also been mentioned as a possible destination for the England under-21 international.
Monaco, Swansea City and Ajax are also believed to be options, but the Liverpool Echo reports that Everton are the latest club to sound out his availability.
The £8m-rated 21-year-old is not short of suitors though, and will likely have his pick of options this month should he want to move.
The Liverpool Echo report claims he's keen to speak to Martinez about a possible move, with Everton building a talented young side under their new boss.
The likes of Ross Barkley, James McCarthy and Romelu Lukaku have helped propel the Toffees up the Premier League table, and they're an attractive club for many outside and inside the top division.
Any fee for the ex-Liverpool academy player would have to be decided by tribunal though, which could complicate matters.