Police in Iceland called off a search Monday for two tourists initially believed missing after the collapse of an ice cave that killed one person and seriously injured another, saying they now believe no one is missing.

Icelandic authorities said they called off the search after examining the tour operator's records and determining that only 23 people were on the trip, not 25 as was first believed.

One person died and one person was seriously injured Sunday when the cave collapsed shortly before 3 p.m. local time. Both victims are American, police said.

"A moment ago, the police field manager located at the scene announced that all the ice that was thought to have fallen on the people had been moved,'' police said. "It has come to light that no one (was) hidden under the ice.''

WATCH | At the scene of the cave collapse:

Drone captures Iceland rescue crews at site of cave collapse

Police in Iceland say the rescue effort that had been underway at the site of an ice cave collapse has been called off. One person died in the collapse — and there were fears more were missing — but police on Monday said earlier reports that two tourists had been trapped were wrong.

Rescuers had worked by hand to cut through the remnants of the collapsed ice cave as they searched for those they had believed to be missing.

The search, which was suspended overnight when conditions became too dangerous, had resumed at about 7 a.m., Icelandic broadcaster RUV reported. Video showed rescuers working inside two large craters surrounded by the sand-blackened ice of the Breidamerkurjokull glacier.

But by the end of the day, they were satisfied that a mistake had been made in record-keeping and that no one else was missing.

Police said there had been "misleading information" about the number of people on the trip. Based on what initially was available, it was deemed necessary to continue the search until rescuers could be assured no one was under the ice, police said.