Tottenham have emerged as the latest club interested in signing Remy from Queens Park Rangers along with Newcastle, Liverpool and Arsenal, and it is understood the north London side have already made the 27-year-old an offer to sign on at White Hart Lane.
Spurs are in advanced talks with Southampton boss Mauricio Pochettino over becoming their new head coach and club officials are keen to pull out all the stops to back the 42-year-old in the transfer market.
Remy, who is currently on international duty preparing for the World Cup with France, has an £8m buy-out clause in his contract at Loftus Road and he has already indicated a desire to play European football next season.
Spurs would be in a position to offer that to Remy having qualified for the Europa League, but the striker is keen to assess all his options before deciding on his next move.
His representatives have held talks with Arsenal and Liverpool, but with a World Cup campaign around the corner, the striker is well aware his options could increase with impressive displays for France.
Newcastle have maintained some hope Remy could return after he scored 14 goals in 26 appearances last season, but the 27-year-old has continued to distance himself from talk of a permanent move to St James’ Park.
“The World Cup is a chance for me to showcase my ability,” the Frenchman said.
“Newcastle, who I was loaned to by QPR, want to buy me. But I do not know if I'll stay there.
“I'm at a turning point in a pivotal year. It can be all guns blazing or stagnation.
“Since the beginning of the year, apart from my injury, it has been good. And when I am fit, I think I can hurt any opposition.”
Remy scored the last of his 14-goal return in Newcastle’s 3-0 win over Cardiff City on the penultimate weekend of the season, which proved to be his final appearance for the club.
He missed the final game at Liverpool with Magpies boss Alan Pardew revealing the striker has suffered a knock in the win over Cardiff, but speaking from the French camp Remy spoke otherwise.
He said: “The coach Alan Pardew understood my point of view. We had nothing to play for and I didn’t want to risk getting hurt again.”
Remy is joined in Didier Deschamps’ French squad by Newcastle pair Moussa Sissoko and Mathieu Debuchy, with the latter battling it out with Arsenal’s Bacary Sagna for the right-back berth.
Deschamps preferred Debuchy in the latter stages of Les Blues’ qualification campaign, but his attacking qualities have been called into question in his homeland, something he puts down to Pardew’s instructions.
He said: “There are people who give their opinion, and everyone is free to think what they want, but this is not my opinion (he is more defensive).
“I was frustrated because the coach (Alan Pardew) asked me to stay back, while in the France team the coach tells me to stay high (up the pitch).
“If you do not attack enough, people will say that you do not do enough offensively and if you go up too much, they will say you are not defensively sound. Which is why there will always be critics.”
Meanwhile, Newcastle are considering making a renewed approach for French midfielder Clement Grenier.
The Magpies failed in an attempt to sign the Lyon midfielder as a replacement for Yohan Cabaye in January, but sources in France suggest a move could still be on the cards after fresh talks were held between representatives of both parties.
Grenier is also in Deschamps World Cup squad, but a move could depend on whether Pardew is successful in his attempts to land Montpellier’s Remy Cabella.