The WBA 'super' and IBF heavyweight champion has switched his attention to the IBF's mandatory challenger Pulev after Wladimir Klitschko announced his retirement instead of accepting a planned rematch in Las Vegas.
'The Body Snatcher' suffered his first defeat as a professional in the pair's first meeting at London's O2 Arena in December 2015, but it did visibly rock the former Olympic champion in the second round.
Joshua stopped the 41-year-old Ukrainian in the 11th round of their Wembley blockbuster in April. And though Klitschko has yet to decide whether he wants to fight on, Hearn has travelled to the States alongside Matchroom's Head of Boxing Frank Smith and Joshua's manager Freddie Cunningham.
Joshua beat Klitschko after 11 rounds to extend his unbeaten streak to 19 fights, and a clause in their contracts allows the defeated fighter to ask for a rematch. But the 41-year-old is yet to make decision about his future.
The pair are expected to face off for a second time before the year is out, as Klitschko seeks revenge for his 11th-round defeat to undefeated Joshua in front of 90,000 spectators at Wembley Stadium in April.