Dallas Stars' James Neal eyes the puck from the ice during the first period of an NHL hockey game against the San Jose Sharks Saturday, March 21, 2009, in San Jose, Calif. (AP Photo/Ben Margot)
Aaron Gagnon ended Dan Ellis' shutout bid 1:19 into the third period to make it 2-1, but Hall and Mattias Ohlund added goals for Tampa Bay.
Ellis made 17 saves, and Dominic Moore also scored for the Lightning.
Philip Larsen added a third-period goal for the Stars.
Ellis was signed as a free agent in July to compete with Mike Smith to be Tampa Bay's No. 1 goaltender. Smith is out for at least a week because of a broken right ring finger.