We've spoken to the authorities in Liechtenstein and it's not a problem," spokesman Daniel Reist said.
As well as the obligatory Swiss army knives, the troops were armed with assault rifles - however, they had no ammunition, Mr Reist said.
Officials in Liechtenstein, which is on Switzerland's eastern borders, also sought to play down the incident.
Markus Amman, an interior ministry spokesman, said nobody in Liechtenstein had even noticed the soldiers. "It's not like they stormed over here with attack helicopters or something," he said.You've got to laugh.