The body of an unidentified man was found by a member of the public on Dog Mills beach, police said.
Taoiseach Leo Varadkar is among those attending the British-Irish Council on the Isle of Man.
Police say he suffered serious head injuries in the suspected attack in the early hours of Sunday.
A man who was injured in unexplained circumstances at a school is taken into intensive care in Liverpool.
Mark Cavendish’s Dimension Data team-mate Bernie Eisel says the Manx cyclist can “definitely” break Eddy Merckx’s Tour de France record.