Sylvain Wiltord has rejected Lyon's first offer of a new deal.
The former Arsenal star is unhappy with the terms on offer from the French champions.
Wiltord was initially offered a new one-year deal to keep him at Stade Gerland, but he is holding out for a longer contract.
A number of clubs have expressed an interest in Wiltord and the French international is hoping to have his future resolved before the start of the World Cup.
"When l'OL proposed me an additional one year, it didn't go off very smoothly, and I consider it was a lack of respect," Wiltord told Le Progres
"Now we have resumed talks, but with that lack of respect, now it may be three years rather than two years."
Meanwhile, Francois Clerc is set to pledge his future to Lyon by signing a new deal at the club.
The highly-rated full back is believed to have found a verbal agreement on a contract extension.
Clerc's current deal was due to expire in the summer and a number of clubs were waiting in the wings to sign him on a free transfer.
However, Lyon have moved to offer him a four-year deal and he is expected to put pen-to-paper on it in the next few days.