The Belgian international has long been linked with a move to the Premier League and could have a decision to make if all three English clubs lodge a bid in the coming months.
According to The Sun, the Gunners look set to appoint former Barcelona boss Luis Enrique as their next manager when Arsene Wenger retires this summer, and the Spaniard could make Nainggolan his first signing.
Roma could be prepared to ship the 29-year-old out this summer in order to build a younger squad capable of winning the Serie A title.
The combative midfielder has no problem playing for an under-performing club as it’s similar to his situation at Roma.
He’s yet to win a trophy with the Italian outfit and would reportedly not consider joining a ‘winning team’ where he cannot play to his full potential.
Nevertheless, his signing won’t come cheap for Arsenal as his asking price is believed to be around £45m.
Unfortunately for the Gunners, they aren’t an attractive proposition at the moment, being out of contention for a top-four place and underdogs to progress in the Europa League.