The Uruguay international is eyeing a return to Europe following a spell in his home country with Internacional, according to The Mirror.
Hammers boss Sam Allardyce is said to be keen to boost his attacking options, with record signing Andy Carroll still out injured.
West Ham are reported to be the frontrunners to secure the 34-year-old's services.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 29 | 21 | 7 | 1 | 69 | 27 | 42 | 70 |
| 2 | Arsenal | 29 | 16 | 10 | 3 | 53 | 24 | 29 | 58 |
| 3 | Nottingham ForestNott'm Forest | 29 | 16 | 6 | 7 | 49 | 35 | 14 | 54 |
| 4 | Chelsea | 29 | 14 | 7 | 8 | 53 | 37 | 16 | 49 |
| 5 | Manchester CityMan City | 29 | 14 | 6 | 9 | 55 | 40 | 15 | 48 |
| 6 | Newcastle UnitedNewcastle | 28 | 14 | 5 | 9 | 47 | 38 | 9 | 47 |
| 7 | Brighton & Hove AlbionBrighton | 29 | 12 | 11 | 6 | 48 | 42 | 6 | 47 |
| 8 | Fulham | 29 | 12 | 9 | 8 | 43 | 38 | 5 | 45 |
| 9 | Aston Villa | 29 | 12 | 9 | 8 | 41 | 45 | -4 | 45 |
| 10 | Bournemouth | 29 | 12 | 8 | 9 | 48 | 36 | 12 | 44 |
| 11 | Brentford | 29 | 12 | 5 | 12 | 50 | 45 | 5 | 41 |
| 12 | Crystal Palace | 28 | 10 | 9 | 9 | 36 | 33 | 3 | 39 |
| 13 | Manchester UnitedMan Utd | 29 | 10 | 7 | 12 | 37 | 40 | -3 | 37 |
| 14 | Tottenham HotspurSpurs | 29 | 10 | 4 | 15 | 55 | 43 | 12 | 34 |
| 15 | Everton | 29 | 7 | 13 | 9 | 32 | 36 | -4 | 34 |
| 16 | West Ham UnitedWest Ham | 29 | 9 | 7 | 13 | 33 | 49 | -16 | 34 |
| 17 | Wolverhampton WanderersWolves | 29 | 7 | 5 | 17 | 40 | 58 | -18 | 26 |
| 18 | Ipswich TownIpswich | 29 | 3 | 8 | 18 | 28 | 62 | -34 | 17 |
| 19 | Leicester CityLeicester | 29 | 4 | 5 | 20 | 25 | 65 | -40 | 17 |
| 20 | Southampton | 29 | 2 | 3 | 24 | 21 | 70 | -49 | 9 |
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