The Dutch international has not yet agreed an extension to his contract, which runs out at the end of next season.
The Spanish giants could land the 28-year-old for a reduced price, according to The Mirror.
Van Persie netted his 15th league goal of the season in Arsenal's 1-0 win against Everton on Saturday.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 16 | 12 | 3 | 1 | 37 | 16 | 21 | 39 |
| 2 | Chelsea | 17 | 10 | 5 | 2 | 37 | 19 | 18 | 35 |
| 3 | Arsenal | 17 | 9 | 6 | 2 | 34 | 16 | 18 | 33 |
| 4 | Nottingham ForestNott'm Forest | 17 | 9 | 4 | 4 | 23 | 19 | 4 | 31 |
| 5 | Bournemouth | 17 | 8 | 4 | 5 | 27 | 21 | 6 | 28 |
| 6 | Aston Villa | 17 | 8 | 4 | 5 | 26 | 26 | 0 | 28 |
| 7 | Manchester CityMan City | 17 | 8 | 3 | 6 | 29 | 25 | 4 | 27 |
| 8 | Newcastle UnitedNewcastle | 17 | 7 | 5 | 5 | 27 | 21 | 6 | 26 |
| 9 | Fulham | 17 | 6 | 7 | 4 | 24 | 22 | 2 | 25 |
| 10 | Brighton & Hove AlbionBrighton | 17 | 6 | 7 | 4 | 27 | 26 | 1 | 25 |
| 11 | Tottenham HotspurSpurs | 17 | 7 | 2 | 8 | 39 | 25 | 14 | 23 |
| 12 | Brentford | 17 | 7 | 2 | 8 | 32 | 32 | 0 | 23 |
| 13 | Manchester UnitedMan Utd | 17 | 6 | 4 | 7 | 21 | 22 | -1 | 22 |
| 14 | West Ham UnitedWest Ham | 17 | 5 | 5 | 7 | 22 | 30 | -8 | 20 |
| 15 | Everton | 16 | 3 | 7 | 6 | 14 | 21 | -7 | 16 |
| 16 | Crystal Palace | 17 | 3 | 7 | 7 | 18 | 26 | -8 | 16 |
| 17 | Leicester CityLeicester | 17 | 3 | 5 | 9 | 21 | 37 | -16 | 14 |
| 18 | Wolverhampton WanderersWolves | 17 | 3 | 3 | 11 | 27 | 40 | -13 | 12 |
| 19 | Ipswich TownIpswich | 17 | 2 | 6 | 9 | 16 | 32 | -16 | 12 |
| 20 | Southampton | 17 | 1 | 3 | 13 | 11 | 36 | -25 | 6 |
| > Premier League Full Table | |||||||||
