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.