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.
Promotional play-offs
The first placed teams of each pool were drawn in head-to-head rounds. The winners advanced to Group II in 2017.
Luxembourg vs. Moldova
Macedonia vs. Norway
5th to 8th play-offs
The second placed teams of each pool were drawn in head-to-head rounds to find the equal fifth and seventh placed teams.
Greece vs. Madagascar
Ireland vs. Montenegro
9th to 12th play-offs
The third placed teams of each pool were drawn in head-to-head rounds to find the equal ninth and eleventh placed teams.
Tunisia vs. Cyprus
Armenia vs. Morocco
13th to 16th play-offs
The fourth placed teams of each pool were drawn in head-to-head rounds to find the equal thirteenth and fifteenth placed teams.
Malta vs. Algeria
Iceland vs. Kosovo
Final placements
and were promoted to Europe/Africa Zone Group II in 2017.