The latter - a joint production between Britain, Belgium and the North - was earlier screened at the Toronto International Film Festival and the South's Busan International Film Festival to positive reviews.
But cross-border relations have warmed after South Korean President Moon Jae-in - who has championed dialogue with the isolated North since taking office previous year - held a landmark summit with the North's leader Kim Jong Un in April.
However, officials say it could be months before excavations can begin and years until the remains are identified.
President Donald Trump said Tuesday that he does, in fact, plan to give North Korean leader Kim Jong Un a CD with the Elton John hit "Rocket Man", as well as another mystery gift "at a certain period".
The White House had said earlier Pompeo would meet with the leader, but the encounter did not materialise and the top United States diplomat only met with Kim Yong Chol.
"I have it for him".
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"Certainly they can make a decision whether or not those drills are reinstated if they decide to do so based on North Korea's actions", he said.
However Mr Kim has not been seen in public for seven days, with every official move usually documented by news agency KCNA.
Mike Pompeo on the tarmac in Pyongyang.
Trump made similar accusations in May, noting that North Korea's previously conciliatory tone towards the scheduled summit between Kim and Trump seemed to change overnight following Kim's meeting with Chinese communist leader Xi Jinping in Dalian, China. He repeated that the United States would not push for any sanctions relief until after North Korea proved its nuclear program no longer existed and could not be rehabilitated.
On Monday, Trump addressed the dispute on Twitter.
"If those requests were "gangster-like" then the world is a gangster, because there was a unanimous decision at the U.N. Security Council about what needs to be achieved", Pompeo told reporters in Tokyo, his next stop after Pyongyang.
What Pyongyang really wants is a four-party meeting with South Korea, China and the United States, the professor said.