She has played for ÍBV since 2007 with her first league match coming in 2008.
Kristianstads DFF, the Swedish club where Margrét Lára was playing, gave a trial to Elísa before the start of their 2013 Damallsvenskan season. During Elísa's visit she played in a pre-season friendly but Kristianstads had no immediate plans to sign her to a contract.[2] She eventually transferred to Kristianstads in January 2014, by which time Margrét Lára had gone on maternity leave.[3]
In November 2015, she returned to play in the Úrvalsdeild when she signed a contract with Valur.[4]