The Daily Mail is reporting that the Blues have been offered the chance to land the striker as they look to strengthen their squad ahead of next season.
The 27-year-old Colombia international was not called up to his national team for this summer’s World Cup in France, but the Blues are now being linked with a move to bring him to Stamford Bridge.
Zapata has spent some recent seasons on loan to Napoli before Sampdoria took up the option to sign him permanently.
The same report says that Atletico Madrid are among the other clubs being linked with a move for the forward this summer.
Chelsea FC are thought to be on the lookout for a number of new signings this summer as they look to assemble a squad capable of winning the title next season.
The Blues ended up in fifth place in the table last term as they missed out on Champions League qualification, before they beat Manchester United to win the FA Cup back in May.
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