Remy has attracted a lot of interest from clubs across Europe
West Ham have had an £11.2m bid for Nice striker Loic Remy turned down, according to Bordeaux president Jean-Louis Triaud.
Bordeaux are a rival suitor for Remy's signing, but Triaud says Nice's demands have priced them out of the market.
"They [Nice] refused to accept 13.5m euros from West Ham," said Triaud. "I do not see how we could make a proposal that pleases them."
Hammers co-owner David Sullivan refused to comment when contacted by BBC Sport.
West Ham recently had an improved offer for West Brom's highly rated midfielder Graham Dorrans turned down, having previously seen a £4m-bid rejected in April.
Likened to former Arsenal striker Thierry Henry, Remy has played once for France, coming on as a substitute in a friendly against Nigeria in June.
Bordeaux see the forward as the ideal replacement for Marouane Chamakh, who joined Arsenal on a free transfer this summer.
Ironically, Remy has also been linked with the Gunners as well as with a potential move to Marseille and his former club Lyon in France. Spanish side Sevilla are also rumoured to be interested.
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