The two Merseyside rivals meet in their local derby at Goodison Park this afternoon, but long after the final whistle blows, there may be another battle between the two clubs.
The Mirror report that both clubs are in the race to sign Ajax star Anwar El Ghazi, who has enjoyed a sensational start to the season under Frank de Boer.
Amsterdam giants Ajax have been one of the leading producers of top talent in recent years, with Premier League stars such as Jan Vertonghen, Toby Alderweireld, Daley Blind, Christian Eriksen and Siem de Jong all coming up through Ajax's famed academy.
Now, the latest crop of talent - such as Jairo Riedewald, Kenny Tete, Riechedly Bazoer and Davy Klaassen - have all impressed this season, but it's winger El Ghazi stealing the limelight.
The 20-year-old wide man showed promise in his first full season in the Ajax first-team last season, and he has already racked up seven goals in seven Eredivisie games this season.
A Dutch Under-21 international with huge potential, speed and power, the lanky El Ghazi is unsurprisingly attracting Premier League interest - and with Everton and Liverpool both reportedly looking to sign him, Ajax could be sending yet another player to the Premier League.