The Dutchman had a good season with Marseille but the French club are looking to cut costs this summer.
Sky Sports believe the player has been offered to West Ham as well.
It will be interesting to see if Everton take up the chance to sign Strootman on loan.
The 29-year-old could be a useful squad player for Marco Silva next season. Also, the transfer would be a massive bargain as well.
It would allow the Toffees to invest in the other areas of their squad.
Strootman was very highly rated during his time at Roma and if he can recapture that form, he could make a big difference for Everton.