International Tennis Federation president David Haggerty is "confident" a revamped Davis Cup and the new ATP Team Cup can join forces to create a single tournament.
Haggerty says "fruitful talks" have taken place between the ATP and ITF after concerns were raised about a congested player schedule.
"At the heart of the problem is the calendar," Haggerty said.
"Is there a way to collaborate and work together?"
The current Davis Cup format is getting an overhaul and being replaced by an 18-nation World Cup-style event to be held in Madrid in November 2019.
The ATP event, involving 24 international teams, will act as a curtain-raiser for the men's 2020 season just six weeks later.