The Ivorian, who played for the Foxes during the 2011-12 season, is currently without a team after being released by Trabzonspor.
Bamba, 29, could now rejoin Nigel Pearson's side as he looks to boost his defensive ranks, according to talkSPORT.
Leicester continue their Premier League campaign on Saturday when they travel to Chelsea.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 15 | 11 | 3 | 1 | 31 | 13 | 18 | 36 |
| 2 | Chelsea | 16 | 10 | 4 | 2 | 37 | 19 | 18 | 34 |
| 3 | Arsenal | 16 | 8 | 6 | 2 | 29 | 15 | 14 | 30 |
| 4 | Nottingham ForestNott'm Forest | 16 | 8 | 4 | 4 | 21 | 19 | 2 | 28 |
| 5 | Manchester CityMan City | 16 | 8 | 3 | 5 | 28 | 23 | 5 | 27 |
| 6 | Bournemouth | 16 | 7 | 4 | 5 | 24 | 21 | 3 | 25 |
| 7 | Aston Villa | 16 | 7 | 4 | 5 | 24 | 25 | -1 | 25 |
| 8 | Fulham | 16 | 6 | 6 | 4 | 24 | 22 | 2 | 24 |
| 9 | Brighton & Hove AlbionBrighton | 16 | 6 | 6 | 4 | 26 | 25 | 1 | 24 |
| 10 | Tottenham HotspurSpurs | 16 | 7 | 2 | 7 | 36 | 19 | 17 | 23 |
| 11 | Brentford | 16 | 7 | 2 | 7 | 32 | 30 | 2 | 23 |
| 12 | Newcastle UnitedNewcastle | 16 | 6 | 5 | 5 | 23 | 21 | 2 | 23 |
| 13 | Manchester UnitedMan Utd | 16 | 6 | 4 | 6 | 21 | 19 | 2 | 22 |
| 14 | West Ham UnitedWest Ham | 16 | 5 | 4 | 7 | 21 | 29 | -8 | 19 |
| 15 | Crystal Palace | 16 | 3 | 7 | 6 | 17 | 21 | -4 | 16 |
| 16 | Everton | 15 | 3 | 6 | 6 | 14 | 21 | -7 | 15 |
| 17 | Leicester CityLeicester | 16 | 3 | 5 | 8 | 21 | 34 | -13 | 14 |
| 18 | Ipswich TownIpswich | 16 | 2 | 6 | 8 | 16 | 28 | -12 | 12 |
| 19 | Wolverhampton WanderersWolves | 16 | 2 | 3 | 11 | 24 | 40 | -16 | 9 |
| 20 | Southampton | 16 | 1 | 2 | 13 | 11 | 36 | -25 | 5 |
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