The 29-year-old moved to Spartak just last summer, but it is understood that he is keen on a return to La Liga after failing to settle in Moscow.
According to Marca, Atletico are confident of reaching an agreement this week, with Spartak also open to the possibility of a sale.
Costa has a contract with his current club until 2017.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Barcelona | 8 | 7 | 0 | 1 | 25 | 9 | 16 | 21 |
| 2 | Real Madrid | 8 | 5 | 3 | 0 | 17 | 6 | 11 | 18 |
| 3 | Villarreal | 8 | 5 | 2 | 1 | 17 | 15 | 2 | 17 |
| 4 | Atletico MadridAtletico | 8 | 4 | 4 | 0 | 12 | 4 | 8 | 16 |
| 5 | Athletic Bilbao | 8 | 4 | 2 | 2 | 12 | 8 | 4 | 14 |
| 6 | Mallorca | 8 | 4 | 2 | 2 | 8 | 6 | 2 | 14 |
| 7 | Osasuna | 8 | 4 | 2 | 2 | 12 | 13 | -1 | 14 |
| 8 | Real BetisBetis | 8 | 3 | 3 | 2 | 8 | 7 | 1 | 12 |
| 9 | Rayo Vallecano | 8 | 2 | 4 | 2 | 9 | 8 | 1 | 10 |
| 10 | Celta Vigo | 8 | 3 | 1 | 4 | 15 | 15 | 0 | 10 |
| 11 | AlavesAlaves | 8 | 3 | 1 | 4 | 11 | 12 | -1 | 10 |
| 12 | GironaGirona | 8 | 2 | 3 | 3 | 9 | 11 | -2 | 9 |
| 13 | Sevilla | 8 | 2 | 3 | 3 | 8 | 10 | -2 | 9 |
| 14 | Real Sociedad | 8 | 2 | 2 | 4 | 6 | 7 | -1 | 8 |
| 15 | Getafe | 8 | 1 | 4 | 3 | 5 | 6 | -1 | 7 |
| 16 | Leganes | 8 | 1 | 4 | 3 | 5 | 9 | -4 | 7 |
| 17 | Espanyol | 8 | 2 | 1 | 5 | 7 | 12 | -5 | 7 |
| 18 | Valencia | 8 | 1 | 2 | 5 | 5 | 13 | -8 | 5 |
| 19 | Real ValladolidValladolid | 8 | 1 | 2 | 5 | 4 | 17 | -13 | 5 |
| 20 | Las PalmasLas Palmas | 8 | 0 | 3 | 5 | 9 | 16 | -7 | 3 |
| > La Liga Full Table | |||||||||
