Evariste Payer was born December 12, 1887 in Rockland, Ontario. A member of the Lower Ottawa Hockey Association's Rockland Seniors, Payer signed as a free agent with the National Hockey Association's Montreal Canadiens in January of 1912.
Payer spent two seasons with Montreal while splitting his second season with the Montreal City Hockey League's Montreal Hochelaga with whom he was a MCHL First Team All-Star.
In 1912-13, Payer joined the Montreal Champetre where for a second consecutive season he was a MCHL First Team All-Star after scoring 13 goals in 12 games. Payer returned to the Champetre the following season and followed up his strong play from the previous year with a ten-goal season in ten games, earning him MCHL Second Team All-Star honours.
Payer returned to the Rockland Seniors in 1914-15 where he played one season before leaving the game for the next two fulfilling his military service. Following a two year absence from the game, Payer returned to Rockland now of the Ottawa City Hockey League before signing as a free agent for the second time with the Montreal Canadiens now of the National Hockey League.
Throughout playing his career, Evariste Payer played in one career NHL game.