 On 2 January 2020, Insúa signed with MLS side LA Galaxy.The player succeeded on the Under-20s international scene, playing three games to finish with the runner-up medal at the 2007 South American Youth Championship, which served as a qualifier for the FIFA U20 World Cup where he played seven games, conceding just 4 goals in the entire tournament and aiding the Argentina Under-20 team to victory against the Czech Republic in the FIFA U20 World Cup final on 22 July 2007.On 24 August 2009, Liverpool manager Rafael Benítez said that Diego Maradona was monitoring the progress of Insúa and considering calling him up for international duty with Argentina.