See main article: 2016 Fed Cup Europe/Africa Zone. The play-offs of the 2016 Fed Cup Europe/Africa Zone Group III were the final stages of the Group III zonal competition involving teams from Europe and Africa. Using the positions determined in their pools, the seventeen teams faced off to determine their placing in the 2016 Fed Cup Europe/Africa Zone Group III. The top two teams advanced to Fed Cup Europe/Africa Zone Group II.
| Placing | Pool A | Pool B | Pool C | Pool D |
|---|---|---|---|---|
| 1 | ||||
| 2 | ||||
| 3 | ||||
| 4 | ||||
| 5 | ||||
The first placed teams of each pool were drawn in head-to-head rounds. The winners advanced to Group II in 2017.
The second placed teams of each pool were drawn in head-to-head rounds to find the equal fifth and seventh placed teams.
The third placed teams of each pool were drawn in head-to-head rounds to find the equal ninth and eleventh placed teams.
The fourth placed teams of each pool were drawn in head-to-head rounds to find the equal thirteenth and fifteenth placed teams.
| Placing | Teams | ||
| Promoted/First | |||
| Third | |||
| Fifth | |||
| Seventh | |||
| Ninth | |||
| Eleventh | |||
| Thirteenth | |||
| Fifteenth | |||
| Seventeenth | |||