The January signing from Ajax is attracting interest from the Premier League, says Il Messaggero.
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Taylor has settled quickly in Serie A, making 11 appearances and already registering three goals from midfield.
With that form, major Premier League clubs have made contact with Lotito about Taylor's situation and availability.
While not seeking to sell, Lotito will cash in for the right price.
Having arrived for a fee rising to €18m two months ago, Lotito has let it be known he will sell Taylor if an offer of double or more arrives over the summer.