[7] In the 2023–24 season, he set a new personal best in Serie A by scoring 14 goals in 35 matches.
[9] Albert played at the 2017 China Cup, where Iceland finished as runners-up.
[10][11][12] In May 2018, he was named in the national team's 23-man squad for the 2018 FIFA World Cup in Russia.
[14][15] Albert's mother is former international footballer Kristbjörg Helga Ingadóttir, daughter of former international striker Ingi Björn Albertsson, who held the record for most goals in the Icelandic top division from 1987 until 2012.
[19][20] On 3 July 2024, Albert was charged with sexual assault by the district prosecutor in Iceland.