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Everton have been busy this month as Allardyce looks to stamp his mark on his Toffees squad.
The Goodison Park club have signed Cenk Tosun and Theo Walcott for a combined £47m and sold Ross Barkley and Aaron Lennon.
Allardyce’s side continue to be linked with several names and the Toffees chief was asked about the club’s potential moves for Steven N'Zonzi and Marcelo Brozovic.
On the prospects of raiding Sevilla or Inter Milan, Allardyce said: "Not yet.
"I'm not ruling anybody in or out because it's impossible to do that, the window open for anyone and somewhere out of blue, which normally happens this time, could appear."
Ece Tosun in pictures
“I'm not ruling anybody in or out because it's impossible to do that”
Everton boss Sam Allardyce
Allardyce is also looking to offload some of his fringe players before Wednesday’s deadline with Ademola Lookman, Sandro Ramirez and Davy Klaassen among the names who could leave.
Allardyce added: "We've had a number of enquiries which have not been suitable to allow a player to leave, nearly all on loan I believe.
"We've not accepted any loan deals had from other clubs.
"Until such time board decide it's financially acceptable, then from a squad and player point of view I can say whether it's in the best interests of club and player to send them out.
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"We have got a lot of players so moving some out on loan would be possible.
"He [Lookman] wouldn't be available on loan because Aaron Lennon went a few days ago.
"We got a very good deal financially for Aaron so that was acceptable for us. That leaves anyone in that position going out on loan a no-no."
Everton, currently ninth in the Premier League table, drew 1-1 with West Brom last time out and host Leicester on Wednesday.