The 21-year-old spent the 2013-14 season at the Toffees, before being sent out again last term to Sevilla.
However, he endured a frustrating spell at the Europa League winners, and according to Liverpool Echo he is keen to return to Goodison Park, with his future at Barcelona unclear.
It is believed that Deulofeu has a release clause worth £25m, with his current contract lasting 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 | Leganes | 9 | 1 | 5 | 3 | 5 | 9 | -4 | 8 |
| 16 | Getafe | 8 | 1 | 4 | 3 | 5 | 6 | -1 | 7 |
| 17 | Espanyol | 8 | 2 | 1 | 5 | 7 | 12 | -5 | 7 |
| 18 | Valencia | 9 | 1 | 3 | 5 | 5 | 13 | -8 | 6 |
| 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 | |||||||||
