The Spanish forward has been heavily linked with a move to Tottenham, with Arsenal and Liverpool also linked.
However Napoli, who are looking to replace Edinson Cavani, may turn to Soldado after struggling to do a deal for Gonzalo Higuain or Leandro Damiao.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?