Only nine players have played for both clubs since 1992.
For most people the biggest game of the Premier League weekend is Liverpool v Chelsea at Anfield, with the Reds hoping to inflict the first defeat of the season on the table toppers.
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Since the English top tier was rebranded back in 1992 a very select number of players have featured for both sides in action on Merseyside.
Here they are, see if you guess them all.
Nicolas Anelka
Liverpool: 2001 to 2002.
Chelsea: 2008 to 2012.
Having already won the league title with Arsenal the Frenchman returned to English football for the first time during a loan spell with the Reds, before later winning the title again with the West Londoners.