In 2010, Alfreð was joint league top goalscorer with 14 goals, and voted player of the year by fellow players as Breiðablik won their first league title and participated for the first time in the UEFA Europa League when they played against Scottish side Motherwell.
On 3 November 2010, Breiðablik confirmed that an offer for Alfreð from Belgian side Lokeren had been accepted. After completing a medical, Alfreð signed a two-and-a-half-year contract with the club on 20 November 2010.
Alfreð won his first cap for the Icelandic national team in 2010, coming on as a substitute in a friendly match against the Faroe Islands. Alfreð scored on his full debut for Iceland against Israel in a 3–2 loss at Bloomfield Stadium in Tel Aviv. As of 26 June 2018, Alfreð has 50 caps and 14 goals for the senior team.