The 28-year-old England star has been attempting for several months to negotiate a new deal at Stamford Bridge, but his insistence on a five-year commitment could have scuppered any chance of success.
One Sunday tabloid claims an emergency Blues board meeting was convened late last week to discuss the matter, but no offer was forthcoming - leaving Lampard with little option but to pursue a move to Europe.
Having completed more than three years on his current contract, the Romford-born midfielder also has the opportunity to buy himself out at Chelsea and would then be available for £9million.
Barcelona, Real Madrid and Juventus are all vying for Lampard's attentions, but the Blues could yet decide to concede to his demands and keep him at the Bridge.
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