The highly-touted custodian - who has also been on trials with Bolton Wanderers and Oldham Athletic - will await to receive further word of interest from The Toffees.
The 21-year-old had hoped his displays would bring a dream move from the Scottish Third Division to The Premiership.
Albion Rovers manager Peter Hetherston said: "Everton have been impressed by the lad.
"He had a good week with them."
