[1] Šprem served as Chief of Staff of the Office of the President of the Republic from 2005 to 2007, during the second term of Stjepan Mesić, and he was the Speaker of the Croatian Parliament from 2011 to 2012.

Šprem also served as the president of the city council of Zagreb and was a member of parliament of Social Democratic Party (SDP).

Prime Minister Zoran Milanović and Šprem's mother, son and wife then went to Mirogoj Cemetery, as part of a procession, where the last respects were paid.

[7][8] Boris Šprem was posthumously honoured with the Grand Order of Queen Jelena with Sash and Morning Star medal (Croatian: Velered kraljice Jelene s lentom i danicom) by the President of Croatia Ivo Josipović.

[9] On 1 October 2012, European Parliament President Martin Schulz issued a statement on Šprem's death, sending his condolences to his family, friends and the Croatian nation.