The 30-year-old is a Portuguese international, earning 40 caps to date.
With first-choice right-back Mathieu Debuchy currently injured, it is thought that Gunners boss Arsene Wenger is in the market for cover.
According to Tutto Mercato, Arsenal have shown an interest in signing Pereira.
Pereira moved to Valencia from Sporting Lisbon in 2012.
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 |
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