The 21-year-old has produced a string of impressive displays for his club and was named in Italy's World Cup squad this summer.
According to Il Secolo XIX, Perin is being tracked by the Reds, who are thought to be unconvinced by the performances of Simon Mignolet.
Perin has kept three clean sheets for Genoa in Serie A this season.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 29 | 21 | 7 | 1 | 69 | 27 | 42 | 70 |
| 2 | Arsenal | 29 | 16 | 10 | 3 | 53 | 24 | 29 | 58 |
| 3 | Nottingham ForestNott'm Forest | 29 | 16 | 6 | 7 | 49 | 35 | 14 | 54 |
| 4 | Chelsea | 29 | 14 | 7 | 8 | 53 | 37 | 16 | 49 |
| 5 | Manchester CityMan City | 29 | 14 | 6 | 9 | 55 | 40 | 15 | 48 |
| 6 | Newcastle UnitedNewcastle | 28 | 14 | 5 | 9 | 47 | 38 | 9 | 47 |
| 7 | Brighton & Hove AlbionBrighton | 29 | 12 | 11 | 6 | 48 | 42 | 6 | 47 |
| 8 | Fulham | 29 | 12 | 9 | 8 | 43 | 38 | 5 | 45 |
| 9 | Aston Villa | 29 | 12 | 9 | 8 | 41 | 45 | -4 | 45 |
| 10 | Bournemouth | 29 | 12 | 8 | 9 | 48 | 36 | 12 | 44 |
| 11 | Brentford | 29 | 12 | 5 | 12 | 50 | 45 | 5 | 41 |
| 12 | Crystal Palace | 28 | 10 | 9 | 9 | 36 | 33 | 3 | 39 |
| 13 | Manchester UnitedMan Utd | 29 | 10 | 7 | 12 | 37 | 40 | -3 | 37 |
| 14 | Tottenham HotspurSpurs | 29 | 10 | 4 | 15 | 55 | 43 | 12 | 34 |
| 15 | Everton | 29 | 7 | 13 | 9 | 32 | 36 | -4 | 34 |
| 16 | West Ham UnitedWest Ham | 29 | 9 | 7 | 13 | 33 | 49 | -16 | 34 |
| 17 | Wolverhampton WanderersWolves | 29 | 7 | 5 | 17 | 40 | 58 | -18 | 26 |
| 18 | Ipswich TownIpswich | 29 | 3 | 8 | 18 | 28 | 62 | -34 | 17 |
| 19 | Leicester CityLeicester | 29 | 4 | 5 | 20 | 25 | 65 | -40 | 17 |
| 20 | Southampton | 29 | 2 | 3 | 24 | 21 | 70 | -49 | 9 |
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