"There is still a significant amount of mud and rocks covering the tracks at this time and it is still raining," Legg said. "We are hopeful it will be soon, but it will likely take quite a few days before we are up and running again."
PeruRail and the Transport Ministry are working together to clear the tracks and are transporting other tourists to the town of Ollantaytambo, Legg said. PeruRail has advised any passengers planning to travel within the next seven days should contact the company first.
Perez said that Machu Picchu had sustained little or no damage as a result of the floods and mudslides.
"I am happy to say that the Citadel is in perfect condition," he said.
However, the historic landmark as well as the famous Inca trail leading up to the site will remain closed for the next three days, he said.
The overflowing Vilcanota and Rio Blanco rivers in the area have also flooded hundreds of acres of corn crop, a main ingredient for local food.
Local authorities have declared a 60-day state of emergency in Machu Picchu and Cusco as well as all its surrounding departments and provinces where police say nearly 3,000 people have lost their homes.
According to news reports, the historical city of Cuzco, the former capital of the Inca Empire, also sustained damage as a result of heavy rains.