The 23-year-old scored 12 goals in 29 appearances while on loan at the La Liga outfit last season, and it is understood that both parties are keen to make the move permanent.
According to Sky Sports News, talks are at an advanced stage, and a move could officially be announced later this week.
Vela has 35 Mexican caps to his name.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 14 | 11 | 2 | 1 | 29 | 11 | 18 | 35 |
| 2 | Chelsea | 15 | 9 | 4 | 2 | 35 | 18 | 17 | 31 |
| 3 | Arsenal | 15 | 8 | 5 | 2 | 29 | 15 | 14 | 29 |
| 4 | Manchester CityMan City | 15 | 8 | 3 | 4 | 27 | 21 | 6 | 27 |
| 5 | Nottingham ForestNott'm Forest | 15 | 7 | 4 | 4 | 19 | 18 | 1 | 25 |
| 6 | Aston Villa | 15 | 7 | 4 | 4 | 23 | 23 | 0 | 25 |
| 7 | Brighton & Hove AlbionBrighton | 15 | 6 | 6 | 3 | 25 | 22 | 3 | 24 |
| 8 | Bournemouth | 15 | 7 | 3 | 5 | 23 | 20 | 3 | 24 |
| 9 | Brentford | 15 | 7 | 2 | 6 | 31 | 28 | 3 | 23 |
| 10 | Fulham | 15 | 6 | 5 | 4 | 22 | 20 | 2 | 23 |
| 11 | Tottenham HotspurSpurs | 15 | 6 | 2 | 7 | 31 | 19 | 12 | 20 |
| 12 | Newcastle UnitedNewcastle | 15 | 5 | 5 | 5 | 19 | 21 | -2 | 20 |
| 13 | Manchester UnitedMan Utd | 15 | 5 | 4 | 6 | 19 | 18 | 1 | 19 |
| 14 | West Ham UnitedWest Ham | 15 | 5 | 3 | 7 | 20 | 28 | -8 | 18 |
| 15 | Everton | 14 | 3 | 5 | 6 | 14 | 21 | -7 | 14 |
| 16 | Leicester CityLeicester | 15 | 3 | 5 | 7 | 21 | 30 | -9 | 14 |
| 17 | Crystal Palace | 15 | 2 | 7 | 6 | 14 | 20 | -6 | 13 |
| 18 | Ipswich TownIpswich | 15 | 1 | 6 | 8 | 14 | 27 | -13 | 9 |
| 19 | Wolverhampton WanderersWolves | 15 | 2 | 3 | 10 | 23 | 38 | -15 | 9 |
| 20 | Southampton | 15 | 1 | 2 | 12 | 11 | 31 | -20 | 5 |
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