Chelsea had held extensive negotiations with Napoli over a deal for the Nigeria international in the closing stages of the transfer window last week but failed to reach an agreement with both the club and the player.
Napoli had also accepted an €80 million (£67.3m) offer from Al-Ahli but Osimhen once again turned down a move to the Saudi Pro League for the second successive summer.
According to Sky Sports Italy, Galatasaray have now entered negotiations with Napoli to sign the striker on loan for the remainder of the season.
The report claims that Galatasaray are in talks with Napoli to discuss the Italian club’s salary contribution as part of the agreement which would end Osimhen’s exile under Antonio Conte.
Galatasaray are in the market for a striker to provide competition for Mauro Icardi, who is sidelined with a hamstring injury for at least a month. They have won both of their games in the Turkish Super Lig this season and are playing Tottenham in the Europe League in November.
Meanwhile, Conte has made it clear that Osimhen would not be reintroduced to the squad having been left out of his Napoli squad since the start of pre-season.
‘No, this is the team. This is the group,’ Conte said after his side’s 2-1 win over Palma on Saturday.
‘We made decisions. I mentioned coherence before. Those who are not consistent don’t respect the rules. I repeat, respect to the club. The president proved consistent despite losing important money, credit where credit is due.
‘The club were consistent, knowing that if the situation had unlocked earlier, we would all have been advantaged. As I said, we’ve started rebuilding. Good players arrived. They were on the table. It took us time to understand and think about it, but we signed them, and I am happy.
‘We didn’t do everything and it’s okay but I think the club did well.’
Speaking at the weekend, Napoli’s director, Giovanni Manna, also revealed that Osimhen remains intent on leaving Napoli, despite a move to the Premier League now off the table until January.
‘The situation is very clear, it has been since the end of last season. Victor expressed his absolute desire to not stay at Napoli, to not play for Napoli, and we tried to make him happy,’ Manna said.
‘Then there is a demand and an offer, we thought that we had concluded the negotiations, but then it did not go through. We bought Lukaku, kept Raspadori and Simeone, which was not to be taken for granted.
‘At this moment, we maintain the same consistency we had since the start – he expressed the desire to no longer play for Napoli and so we made other choices.’
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