Magnús Sólmundarson (born 14 November 1939) is an Icelandic chess player, Icelandic Chess Championship medalist (1973).

From the mid-1960s to the mid-1970s Magnús Sólmundarson was one of the leading Icelandic chess players. He has regularly participated in Icelandic Chess Championships, which he won silver medal in 1973 after lost play-off against Olafur Magnússon, and Reykjavik International Chess tournaments (1964, 1972, 1974, 1982).

Magnús Sólmundarson played for Iceland in the Chess Olympiads:^[1]

• In 1964, at first reserve board in the 16th Chess Olympiad in Tel Aviv (+5, =3, -3),
• In 1970, at first reserve board in the 19th Chess Olympiad in Siegen (+5, =3, -3),
• In 1972, at fourth board in the 20th Chess Olympiad in Skopje (+8, =4, -5),
• In 1976, at fourth board in the 22nd Chess Olympiad in Haifa (+4, =2, -3).

Magnús Sólmundarson played for Iceland in the European Team Chess Championship preliminaries:^[2]

• In 1983, at eighth board in the 8th European Team Chess Championship preliminaries (+0, =0, -1).

Magnús Sólmundarson played for Iceland in the Nordic Chess Cups:^[3]

• In 1974, at fourth board in the 5th Nordic Chess Cup in Eckernförde (+0, =4, -1) and won team bronze medal,
• In 1976, at fourth board in the 7th Nordic Chess Cup in Bremen (+2, =2, -1).

Also Magnús Sólmundarson has successfully participated in correspondence chess tournaments and won the Icelandic Correspondence Chess Championship (1991–1993).^[4]