The 24-year-old has been a target for Manchester United in recent months.
The Argentine has admitted that a move to Old Trafford would appeal to him but now Napoli will look to jump the queue, according to talkSPORT.
Gaitan, who has made six appearances for Argentina, arrived at the Estadio da Luz from Boca Juniors in 2010.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 12 | 10 | 1 | 1 | 24 | 8 | 16 | 31 |
| 2 | Arsenal | 13 | 7 | 4 | 2 | 26 | 14 | 12 | 25 |
| 3 | Manchester CityMan City | 12 | 7 | 2 | 3 | 22 | 17 | 5 | 23 |
| 4 | Brighton & Hove AlbionBrighton | 13 | 6 | 5 | 2 | 22 | 17 | 5 | 23 |
| 5 | Chelsea | 12 | 6 | 4 | 2 | 23 | 14 | 9 | 22 |
| 6 | Nottingham ForestNott'm Forest | 13 | 6 | 4 | 3 | 16 | 13 | 3 | 22 |
| 7 | Brentford | 13 | 6 | 2 | 5 | 26 | 23 | 3 | 20 |
| 8 | Tottenham HotspurSpurs | 12 | 6 | 1 | 5 | 27 | 13 | 14 | 19 |
| 9 | Aston Villa | 12 | 5 | 4 | 3 | 19 | 19 | 0 | 19 |
| 10 | Newcastle UnitedNewcastle | 13 | 5 | 4 | 4 | 14 | 14 | 0 | 19 |
| 11 | Bournemouth | 13 | 5 | 3 | 5 | 20 | 19 | 1 | 18 |
| 12 | Fulham | 12 | 5 | 3 | 4 | 17 | 17 | 0 | 18 |
| 13 | Manchester UnitedMan Utd | 12 | 4 | 4 | 4 | 13 | 13 | 0 | 16 |
| 14 | West Ham UnitedWest Ham | 13 | 4 | 3 | 6 | 17 | 24 | -7 | 15 |
| 15 | Everton | 12 | 2 | 5 | 5 | 10 | 17 | -7 | 11 |
| 16 | Leicester CityLeicester | 13 | 2 | 4 | 7 | 16 | 27 | -11 | 10 |
| 17 | Crystal Palace | 13 | 1 | 6 | 6 | 11 | 18 | -7 | 9 |
| 18 | Wolverhampton WanderersWolves | 13 | 2 | 3 | 8 | 22 | 32 | -10 | 9 |
| 19 | Ipswich TownIpswich | 13 | 1 | 6 | 6 | 13 | 24 | -11 | 9 |
| 20 | Southampton | 13 | 1 | 2 | 10 | 10 | 25 | -15 | 5 |
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