Peter Bastiansen was a former right-handed professional tennis player. He had most of his success playing double together with Michael Mortensen on the Davis Cup team. In November 1986 he was number 158 at the doubles ranking list.
Peter Bastiansen was a member of Denmark's Davis Cup Team through out the 1980s where he won 18 of the 29 singles matches he played.
He was one of the main reasons why Denmark qualified for the World Group for the first time where he won both of his singles. His highest ranking as a single player was number 224.
He played one Grand Slam tournament, French Open together with partner Michael Tauson in 1987.