On the hardcourt of the Werk Arena in the eastern Czech steel hub of Trinec, world number 21 Pouille will probably join 10th-ranked Jo-Wilfried Tsonga for the singles rubbers in the July 15-17 Davis Cup quarterfinals.
Nicolas Mahut and Herbert, the world numbers one and two for doubles, are a clear choice for Saturday's rubber after their Wimbledon win in an all-French final against Julien Benneteau and Edouard Roger-Vasselin.
The French have lost world number 14 Richard Gasquet to an injury and 17th-ranked Gael Monfils, who is grappling with a mysterious virus.
The Czechs will miss their No 1, eighth-ranked Wimbledon semifinalist Tomas Berdych, who beat Pouille in the quarterfinals at the All England Club.
Czech captain Jaroslav Navratil has suggested Berdych wanted to rest after Wimbledon and ahead of the Rio Olympics.
Navratil has called up world number 50 Jiri Vesely, 78th-ranked Lukas Rosol, Adam Pavlasek (111) and veteran doubles specialist Radek Stepanek (118).