22-year-old Seymour was born in Nashville, Tennessee to a Scottish mother and English father. The family later moved to County Down in Ulster.
Sean Lineen wouldn't comment on the matter but the Scotsman reports that the Glasgow coach was put in touch with player by former Glasgow Caledonians and Scotland winger Shaun Longstaff, who is Seymour's agent.
Sean told the Scotsman: "We are looking at various ways to strengthen our squad, which includes the best of young Scottish talent from academies and clubs, as well as looking for other Scottish-qualified players outside the country who could make a difference. But I will not discuss potential signings until they are Glasgow players."