| Date | Round | Round | H/A | Res. | |||
|---|---|---|---|---|---|---|---|
| 13.04.1958 | Matchday 15 | Matchday 15 | H | ![]() | AIK | D | 0:0 |
| 20.04.1958 | Matchday 16 | Matchday 16 | A | ![]() | Motala AIF | W | 1:0 |
| 27.04.1958 | Matchday 17 | Matchday 17 | H | ![]() | GAIS Göteborg | D | 0:0 |
| 01.05.1958 | Matchday 18 | Matchday 18 | A | ![]() | Djurgårdens IF | L | 0:3 |
| 04.05.1958 | Matchday 19 | Matchday 19 | A | ![]() | Sandvikens IF | W | 1:0 |
| 11.05.1958 | Matchday 20 | Matchday 20 | H | ![]() | IFK Norrköping | W | 3:1 |
| 15.05.1958 | Matchday 21 | Matchday 21 | H | ![]() | IFK Eskilstuna | W | 1:0 |
| 18.05.1958 | Matchday 22 | Matchday 22 | A | ![]() | Halmstads BK | D | 2:2 |
| 03.08.1958 | Matchday 23 | Matchday 23 | A | ![]() | Sandvikens IF | W | 5:1 |
| 08.08.1958 | Matchday 24 | Matchday 24 | H | ![]() | IFK Malmö | D | 4:4 |
| 17.08.1958 | Matchday 25 | Matchday 25 | A | ![]() | Motala AIF | L | 0:3 |
| 24.08.1958 | Matchday 26 | Matchday 26 | H | ![]() | Djurgårdens IF | W | 2:1 |
| 31.08.1958 | Matchday 27 | Matchday 27 | A | ![]() | Halmstads BK | L | 2:3 |
| 07.09.1958 | Matchday 28 | Matchday 28 | A | ![]() | Helsingborgs IF | L | 0:1 |
| 21.09.1958 | Matchday 29 | Matchday 29 | H | ![]() | IFK Göteborg | W | 5:3 |
| 28.09.1958 | Matchday 30 | Matchday 30 | A | ![]() | AIK | W | 4:1 |
| 05.10.1958 | Matchday 31 | Matchday 31 | H | ![]() | IFK Norrköping | W | 2:1 |
| 12.10.1958 | Matchday 32 | Matchday 32 | H | ![]() | GAIS Göteborg | W | 2:1 |
| 19.10.1958 | Matchday 33 | Matchday 33 | A | ![]() | IFK Eskilstuna | W | 3:1 |
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