On the Grand Prix circuit, one of his best wins as a singles player came in the 1976 Swedish Open when he eliminated second seed Wojtek Fibak.

[3] Throughout the 1970s he also played a total of six Davis Cup ties for Sweden and featured in the country's 1975 campaign when they won their first title.

[4] He played his first tie in 1973, against Spain in Båstad, called up to partner Ove Bengtson for the doubles rubber.

They won that match and it was Bengtson again that Norberg partnered when he returned to the side in 1975 for Sweden's Europe Zone B quarter-final against West Germany.

With Borg making himself unavailable for selection, Norberg had the opportunity to play two singles matches, both of which he lost, in addition to the doubles rubber.