The Romans reportedly had a £18.5m offer for the Brazilian turned down during the summer, but they have now returned with another bid.
"I can only say we're going strong and I think I can close a deal with Roma," agent Orlando da Hora told Super Deporte.
Nilmar, 27, scored 17 goals from 44 outings last season.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Real Madrid | 19 | 13 | 4 | 2 | 43 | 19 | 24 | 43 |
| 2 | Atletico MadridAtletico | 18 | 12 | 5 | 1 | 33 | 12 | 21 | 41 |
| 3 | Barcelona | 19 | 12 | 2 | 5 | 51 | 22 | 29 | 38 |
| 4 | Athletic Bilbao | 19 | 10 | 6 | 3 | 29 | 17 | 12 | 36 |
| 5 | Villarreal | 18 | 8 | 6 | 4 | 34 | 30 | 4 | 30 |
| 6 | Mallorca | 19 | 9 | 3 | 7 | 19 | 21 | -2 | 30 |
| 7 | Real Sociedad | 18 | 7 | 4 | 7 | 16 | 13 | 3 | 25 |
| 8 | GironaGirona | 18 | 7 | 4 | 7 | 26 | 25 | 1 | 25 |
| 9 | Real BetisBetis | 18 | 6 | 7 | 5 | 21 | 22 | -1 | 25 |
| 10 | Osasuna | 18 | 6 | 7 | 5 | 23 | 27 | -4 | 25 |
| 11 | Celta Vigo | 18 | 7 | 3 | 8 | 27 | 28 | -1 | 24 |
| 12 | Rayo Vallecano | 18 | 5 | 7 | 6 | 20 | 21 | -1 | 22 |
| 13 | Las PalmasLas Palmas | 18 | 6 | 4 | 8 | 23 | 27 | -4 | 22 |
| 14 | Sevilla | 18 | 6 | 4 | 8 | 20 | 27 | -7 | 22 |
| 15 | Leganes | 18 | 4 | 6 | 8 | 17 | 28 | -11 | 18 |
| 16 | AlavesAlaves | 18 | 4 | 5 | 9 | 21 | 30 | -9 | 17 |
| 17 | Getafe | 18 | 3 | 7 | 8 | 11 | 15 | -4 | 16 |
| 18 | Espanyol | 18 | 4 | 3 | 11 | 16 | 30 | -14 | 15 |
| 19 | Valencia | 18 | 2 | 6 | 10 | 17 | 28 | -11 | 12 |
| 20 | Real ValladolidValladolid | 18 | 3 | 3 | 12 | 12 | 37 | -25 | 12 |
| > La Liga Full Table | |||||||||
