| Points | Players | VS Club | Date | |
|---|---|---|---|---|
| 9 | Chris Paterson | Italy | 06-03-2004 | Match details |
| 8 | Chris Paterson | England | 21-02-2004 | Match details |
| 8 | Chris Paterson | Ireland | 27-03-2004 | Match details |
| 5 | Chris Paterson | Wales | 14-02-2004 | Match details |
| 5 | Simon Taylor | Wales | 14-02-2004 | Match details |
| 5 | Simon Danielli | England | 21-02-2004 | Match details |
| 5 | Simon Webster | Italy | 06-03-2004 | Match details |
| 5 | Allister Hogg | Ireland | 27-03-2004 | Match details |
| 3 | Dan Parks | Ireland | 27-03-2004 | Match details |
