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Allan made his Premier League debut on Sunday after arriving from Napoli and helped blunt the Spurs attack.
"He is a defender's dream," said Keane.
?? | A defender's dream. A striker's nightmare.@michaelkeane04 is already a big fan of Allan! ?— Everton (@Everton) September 14, 2020
"He is always there on the striker's toes, winning the ball back. He does a lot of running, puts in a lot of tackles.
"It is great to have him there. He was class, as were all the other lads, including those who came on.
"James has that brilliance about him," added Keane.
"Allan and Doucoure are different kinds of players but both were unbelievable for us against Tottenham.
"It was a brilliant start but we need to carry on."
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