Greek media has reported that West Ham have upped their bid for Kostas Fortounis to 17 million Euros (£15m)
The report says a bid of 8 million euros to Olympiakos was previously rejected.
According to Greek media website, SDNA reports say Hammers Director of Football Mario Husillos (formerly Olympic director of Olympiakos in 2017), made a formal offer to the Piraeus to acquire Fortounis.
The 26-year-old joined the Greek team from German third-tier club FC Kaiserslautern in 2014 for £360,000. The midfielder has started 102 times for Olympiakos scoring 53 goals with a further 28 substitute appearances. He scored two goals against Burnley in the Europa league last August knocking them out of the competition.
The Olympiacos captain, an attacking midfielder, has 15 goals and 15 assists to his name from 39 games in all competitions last season and has been scouted by City, Roma, Fenerbahce, Toulouse and Lyon recently.
Last month Greek sports website SDNA claim the 26-year-old’s agent, Paul Koutsoliakos, is due to travel to England for talks with an English club.