Romelu Lukaku, who joined the Toffees permanently in the summer following a season-long loan, and Samuel Eto'o, who signed on a free transfer on Wednesday, will both come up against their previous employer.
And Joe Rimmer from the Liverpool Echo believes the pair could go a long way to deciding the result at Goodison Park.
He says Eto'o, set to make his debut against his former team, in particular will be wanting to make his mark
"He might not say it in the press, but there’s a feeling he has unfinished business in the Premier League, and a big point to prove to Jose Mourinho," added Rimmer.
"His first game in a Chelsea shirt was at Goodison Park, now his first game for his new club is against his old. Who’d bet against him grabbing the winner on Saturday?"
His striking partner is likely to be Lukaku, who broke Everton's record transfer fee when he made the switch to Goodison Park for £28m.
Rimmer said: "He's another with a lot to prove against his former club.
"Lukaku hasn’t performed brilliantly since he signed for Everton on a permanent basis but there’s been flashes of brilliance though, such as his run and pass against Arsenal, and with two games under his belt, the feeling is that he could click into gear on Saturday."
Rimmer's third player is the match winner in last season's fixture at Goodison Park - Steven Naismith.
His header in first half injury time was the only goal of the game and gave Martinez his first win as Toffees boss after taking over from David Moyes.
Rimmer added: "Naismith could be one of the most under-rated forwards in the Premier League.
"He’s already helped himself to two goals in two games this term (albeit he was fortunate to see his effort against Arsenal stand) and the Scottish international has picked right up from where he left off last term.
"He’s intelligent with great passing and even better movement, and his finishing is superb to boot."