Burnley are interested in the French forward with a €14m offer mooted.
Speaking today, Fabbiani revealed: "There are some requests for Tchaouna, but we evaluate everything 360°.
"We want to start again with the best, we don't want to dismantle, we have made a policy based on young people. We will evaluate the different proposals that are coming to us."
Lazio signed Tchaouna, a France U21 international, a year ago from Salernitana for €10m.
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