Begin, who is 35 years of age, played from 1997-2003 with the Flames and then again from 2012-13. He had not played at any point of the 2013-14 regular season with Calgary.
In 159 games with the Flames, Begin notched 15 goals and 11 assists for 26 points.
Begin, a native of Trois-Rivieres, Quebec also played with the Montreal Canadiens, Boston Bruins, Nashville Predators and Dallas Stars. His career totals are 56 goals and 52 assists for 108 points in 524 games.
His finest season came in 2005-06 with the Montreal Canadiens when he had 11 goals and 12 assists for 23 points.
Begin also won the Jack Butterfield Trophy as the Calder Cup most valuable player while with the St. John Flames in 2000-01.