The family of Patrick Halpin has issued a statement thanking the London Metropolitan Police for their work in searching for the 18-year-old.
Police in London say they believe a body found in Leicester Square yesterday is the Dublin City University student.
No formal identification has yet taken place.
Police say the death is not being treated as suspicious.
Mr Halpin, from Loughrea in Co Galway, was last seen at the Zoo bar and club off Leicester Square shortly after 12am on Wednesday.
The student was on a trip to London with other students when he became separated from friends.
A police spokesperson said a post-mortem examination will be scheduled in due course.
Kilnadeema/Leitrim GAA Chairman John Skelly has said news of the discovery of a body in London had put a cloud over the whole area.
Mr Halpin played hurling with the club, which is contesting the final of the All-Ireland Intermediate Hurling championship in Croke Park tomorrow.
Mr Skelly said there is absolute devastation and disbelief in the community.
He described the 18-year-old as a talented "all-rounder", who had played hurling with the club since childhood.
Mr Halpin also played football and volleyball, was interested in drama and had secured a scholarship to university after completing his Leaving Certificate last year.
Patrick's sister Regina has thanked “all those on social media who shared and retweeted and media who kept the story in the public eye”.
She also thanked “all the communities both at home in Galway and all across Ireland and here in London and in DCU for their relentless energy and their faith.”
The family has asked that their privacy be respected at this difficult time.