Everton have been without first-choice right-back Seamus Coleman since he suffered a broken leg in March.
Toffees boss Sam Allardyce believes Coleman is still “a way off” returning.
Liverpool could also do with strengthening in the position with Nathaniel Clyne set to be sidelined until February.
Speaking last month, a representative for Abdullahi said: "Yes we have offers from Spain, France, Italy and Merseyside clubs in England.
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Birmingham City fan misses match after falling asleep in toilet
"We will study which offer is best for our client, since he will be a free agent after the World Cup the source concluded.”
German outfit Freiburg and Turkish side Trabzonspor are also in the hunt, according to the Daily Mail.