The 28 year-old is wanted by Europe's biggest clubs as his contract runs down this season.
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Fussball Transfers is reporting Dortmund have inquired about Senesi. The Black and Yellows recently had to let loanee Aarón Anselmino (Chelsea) return to England, and the contracts of Emre Can (32) and Niklas Süle (30) are also expiring.
There is certainly a need for reinforcements at Strobelallee this summer, even though two promising talents, Filippo Mane (20) and Luca Reggiani (18), are pushing for a place in the first team.
Indeed, both are expected to play a more prominent role in Dortmund's future.