The manager, Brendan Rodgers, wants to increase the competition on José Enrique's position next season and his search has led him to the 22-year-old Paraguayan, who has been linked with Arsenal and Fenerbahce this summer.
Liverpool are trying to sign Melgarejo on loan, with a view to a long-term transfer, and, should Benfica accept those terms, would have to apply for a work permit because the defender has only one senior cap for his country.
Melgarejo was converted to full-back from a left-sided midfielder by Benfica's coach Jorge Jesus only last season and appeared in the Europa League final defeat by Chelsea.
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