Allen had a terrific NBA Finals, averaging 10.6 points and shooting 55 percent on 3-pointers. His buzzer-beater in Game 6 that forced overtime instantly became one of the biggest clutch shots in Finals history.
Allen proved his durability during the regular season, playing in 79 games, and averaged 10.9 points while shooting 42 percent from 3-point range.
Last summer, Allen turned down a two-year, $12 million offer from the Boston Celtics to take a two-year, $6.2 million deal with an opt-out clause from the Heat.
Allen's decision may have an impact on what the Heat decide to do with Mike Miller. If the Heat use the amnesty provision to release Miller, they can save $14 million in tax payments.
Team president Pat Riley has said he would like to keep Miller, but the decision is up to owner Micky Arison.