Chelsea's keeper is again under pressure after letting in four goals at West Ham on Wednesday night. One was disallowed via a controversial VAR decision but the world's most expensive goalkeeper is once more facing an uncertain future under boss Frank Lampard.
Sevilla are fourth in LaLiga and pushing for a Champions League place next season.
But Kepa's £150,000-a-week wages would be an issue as would the fee for a permanent deal because he is just two years into a mammoth six year contract.
Rivals Valencia would be another alternative but again the finance will be a problem.