| Game |
| Result | Moves |
Year | Event/Locale | Opening |
| 1. H Steingrimsson vs H Saroinsong |
| ½-½ | 40 | 1988 | Wch U14 | B09 Pirc, Austrian Attack |
| 2. H Steingrimsson vs Bronstein |
| ½-½ | 43 | 1990 | Reykjavik Open | E94 King's Indian, Orthodox |
| 3. C Hoi vs H Steingrimsson |
| 1-0 | 59 | 1990 | Reykjavik Open | D91 Grunfeld, 5.Bg5 |
| 4. D Hassabis vs H Steingrimsson |
| 0-1 | 41 | 1990 | Reykjavik Open | B31 Sicilian, Rossolimo Variation |
| 5. H Steingrimsson vs E Gausel |
 | ½-½ | 79 | 1990 | Reykjavik Open | A81 Dutch |
| 6. J Howell vs H Steingrimsson |
| 1-0 | 33 | 1990 | Reykjavik Open | B57 Sicilian |
| 7. H Steingrimsson vs J Vidarsson |
| ½-½ | 24 | 1990 | Reykjavik Open | E32 Nimzo-Indian, Classical |
| 8. J Levitt vs H Steingrimsson |
| ½-½ | 30 | 1990 | Reykjavik Open | A45 Queen's Pawn Game |
| 9. H Steingrimsson vs S Lalic |
| ½-½ | 54 | 1990 | Reykjavik Open | C05 French, Tarrasch |
| 10. O Thorsson vs H Steingrimsson |
| 0-1 | 44 | 1990 | Reykjavik Open | B22 Sicilian, Alapin |
| 11. H Steingrimsson vs J Tisdall |
| ½-½ | 41 | 1990 | Reykjavik Open | E38 Nimzo-Indian, Classical, 4...c5 |
| 12. K Thorsteins vs H Steingrimsson |
| 0-1 | 54 | 1990 | Reykjavik Open | A10 English |
| 13. H Steingrimsson vs W Schmidt |
| ½-½ | 34 | 1990 | Biel MTO Open | D73 Neo-Grunfeld, 5.Nf3 |
| 14. Z Popovic vs H Steingrimsson |
| 0-1 | 51 | 1990 | Biel MTO Open | D78 Neo-Grunfeld, 6.O-O c6 |
| 15. H Steingrimsson vs A Sznapik |
| ½-½ | 41 | 1990 | Biel MTO Open | A57 Benko Gambit |
| 16. O Cvitan vs H Steingrimsson |
| ½-½ | 15 | 1990 | Biel MTO Open | D76 Neo-Grunfeld, 6.cd Nxd5, 7.O-O Nb6 |
| 17. V Beim vs H Steingrimsson |
| 1-0 | 54 | 1990 | Biel MTO Open | A36 English |
| 18. H Steingrimsson vs Petursson |
| 1-0 | 44 | 1990 | ISL-ch | E32 Nimzo-Indian, Classical |
| 19. H Steingrimsson vs D P Lereah |
| 1-0 | 35 | 1990 | Novi Sad Olympiad | D18 Queen's Gambit Declined Slav, Dutch |
| 20. A Romero Holmes vs H Steingrimsson |
| ½-½ | 33 | 1990 | Novi Sad Olympiad | B56 Sicilian |
| 21. W Zili vs H Steingrimsson |
| 1-0 | 30 | 1990 | Novi Sad Olympiad | B62 Sicilian, Richter-Rauzer |
| 22. H Steingrimsson vs H A Gretarsson |
| 0-1 | 43 | 1991 | ISL-ch | A88 Dutch, Leningrad, Main Variation with c6 |
| 23. H Steingrimsson vs T Thorhallsson |
| 0-1 | 72 | 1991 | ISL-ch | D31 Queen's Gambit Declined |
| 24. H Steingrimsson vs R Lendwai |
| 0-1 | 70 | 1991 | Istvan Szechenyi Memorial | A34 English, Symmetrical |
| 25. Van Wely vs H Steingrimsson |
| 1-0 | 30 | 1991 | Istvan Szechenyi Memorial | E20 Nimzo-Indian |
Kibitzing
