Osimhen had a successful loan spell with Galatasaray and impressed in his 41 games, scoring 37 goals and providing 7 assists.
The initial bid of €55 million was too low for Napoli, who are holding out for the €75 million release clause in Osimhen's contract.
Galatasaray have now matched the release clause, but with a twist: the payment will be made in instalments over 5 years.
This means that technically, the release clause has not been triggered, but Napoli will still need to decide whether to accept the offer or not.
The decision ultimately lies with Napoli, and it remains to be seen whether they will let Osimhen join Galatasaray or hold out for a different deal.