Þorgrímur played 12 games with Valur in the UEFA Champions League, against Aston Villa, Juventus, Monaco, Nantes, Dynamo Berliner and Wismut Aue.

The work included involvement with the preparations of the National Team to the participation in UEFA Euro 2016, in France, which turned out to be the biggest football success in the Icelandic history.

He was involved in supporting the national team in their preparations to the participation in the 2018 FIFA World Cup in Russia.

[13] He was attempting to make Iceland the first country in the world to implement a smoking ban in clubs and restaurants.

[6][7] In 2005 the Prime Minister of Iceland appointed Þorgrímur to be the head of the National Health Analysis Committee .

[7][14] In 2008 Þorgrímur participated in lasting 8 weeks reality show Cool in great shape by Basecamp Productions, which portrayed different public figures performing various sports and fitness tasks in order to have their biological age estimated based on their performance and health tests.

[15] Since 2008, Þorgrímur has conducted programs consisting of presentations and motivational lectures for adolescents aged 15–16, titled: "Be in love with life!"

[8] Many anecdotal reports by locals and tourists in Iceland were published in media, depicting Þorgrímur as someone who "displayed a helpful attitude in an unexpected situation".