Foot Mercato reports that Roma are keen to bring Sakho to Italy on a season-long loan deal in place of Mapou Yanga Mbiwa.
Roma sold defender Alessio Romagnoli to AC Milan last week and are looking to bring in a replacement.
Sakho did not feature for Liverpool in their Premier League opener against Stoke.
Reports suggest the 25-year-old remains a part of Brendan Rodgers’ plans at Anfield.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.