The France international joined the Reds from Paris Saint-Germain in 2013, bolstering Brendan Rodgers’ squad at the end of the summer transfer window for £18 million.
After making 80 appearances over his first three campaigns, however, Sakho was exiled by Klopp following a series of transgressions towards the end of 2015/16.
Having spent the second half of last season with Palace on loan, the 27-year-old has rejoined Frank de Boer’s side on a permanent deal.
He made just eight appearances for the Eagles in 2016/17, but was instrumental as they staved off relegation, even earning a nomination for Player of the Season.
Despite a change in manager at Selhurst Park, with De Boer replacing Sam Allardyce, Sakho remained a priority target.
He will be tasked with reviving a flagging Palace side, who have lost all three of their Premier League games so far this season, including away to Liverpool.
Sakho becomes the sixth player to leave the Reds on a permanent basis this summer, following Lucas Leiva (Lazio), Kevin Stewart (Hull City), Andre Wisdom (Derby County), Ryan Fulton (Hamilton Academical) and Sam Hart (Blackburn Rovers).
All the best, Mama!