Iwobi moved from Arsenal to Everton on deadline day, and his goalscoring record at the Emirates Stadium was rather unremarkable.
Iwobi hit 15 goals in 124 appearances for the Gunners, but Silva thinks that the Everton new boy can improve those figures.
Iwobi already has two goals in his first three appearances for the Toffees.
And Silva says that he wants to see Iwobi become more prolific in front of goal at Goodison Park.
"With the quality he has – I am 100 per cent sure he will give important things for us,” Silva said.
“And if he can – and I am sure he can – score more goals, it will help the team.
“The first time I met with him, it was something I put in his mind [his ability to score goals].
“If you look at our wingers and the players in forward positions, it is something I demand from them.
“Richarlison scored many, many goals last season, Theo scored some.
“I want more from the other two [Iwobi and Bernard].”
Iwobi has made a hugely positive start at Everton now, and the excitement is building about the impact he could make during his first season on Merseyside.
Iwobi first scored a header against Lincoln City in the cup, before netting against Wolverhampton Wanderers in the Toffees’ last match before the international break.
Everton are next in action this weekend, when they take on Bournemouth.
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