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 | Real Madrid | 33 | 26 | 6 | 1 | 71 | 22 | 49 | 84 |
| 2 | Barcelona | 33 | 22 | 7 | 4 | 68 | 39 | 29 | 73 |
| 3 | GironaGirona | 33 | 22 | 5 | 6 | 69 | 40 | 29 | 71 |
| 4 | Atletico MadridAtletico | 33 | 20 | 4 | 9 | 62 | 39 | 23 | 64 |
| 5 | Athletic Bilbao | 33 | 16 | 10 | 7 | 53 | 33 | 20 | 58 |
| 6 | Real Sociedad | 33 | 13 | 12 | 8 | 46 | 35 | 11 | 51 |
| 7 | Real BetisBetis | 33 | 12 | 13 | 8 | 41 | 39 | 2 | 49 |
| 8 | Valencia | 33 | 13 | 8 | 12 | 37 | 38 | -1 | 47 |
| 9 | Villarreal | 33 | 12 | 9 | 12 | 54 | 55 | -1 | 45 |
| 10 | Getafe | 33 | 10 | 13 | 10 | 41 | 45 | -4 | 43 |
| 11 | Osasuna | 33 | 11 | 6 | 16 | 37 | 49 | -12 | 39 |
| 12 | AlavesAlaves | 33 | 10 | 8 | 15 | 31 | 38 | -7 | 38 |
| 13 | Sevilla | 33 | 9 | 11 | 13 | 42 | 46 | -4 | 38 |
| 14 | Las PalmasLas Palmas | 33 | 10 | 7 | 16 | 30 | 41 | -11 | 37 |
| 15 | Rayo Vallecano | 33 | 7 | 13 | 13 | 27 | 42 | -15 | 34 |
| 16 | Mallorca | 33 | 6 | 14 | 13 | 27 | 39 | -12 | 32 |
| 17 | Celta Vigo | 33 | 7 | 10 | 16 | 37 | 50 | -13 | 31 |
| 18 | CadizCadiz | 33 | 4 | 14 | 15 | 23 | 46 | -23 | 26 |
| 19 | Granada | 33 | 4 | 9 | 20 | 36 | 61 | -25 | 21 |
| R | Almeria | 33 | 1 | 11 | 21 | 32 | 67 | -35 | 14 |
| > La Liga Full Table | |||||||||
