The BBC's Will Grant says there are fears for people trapped in remote areas
US meteorologists say Tropical Storm Manuel, which has battered the south-west of Mexico, has gathered strength and is now a category one hurricane.
Hurricane Manuel is now approaching north-western Mexico and threatens more destruction, the US National Hurricane Centre said.
The tropical storms Ingrid and Manuel killed 80 people earlier this week.
Now 58 people are reported missing after a landslide buried a village in the south-west of the country.
US experts say Hurricane Manuel is sustaining winds of 120km/h (75mph) and moving towards the coast.
'Very powerful landslide'
President Enrique Pena Nieto said that 58 people were missing after the landslide in the village of La Pintada in Guerrero state.
"It doesn't look good, based on the photos we have in our possession," said Mexican Interior Minister Miguel Angel Osorio Chong, saying it was a "very powerful" landslide.
"Up to this point, we do not have any [confirmed] dead in the landslide," he added.
Tens of thousands of tourists, cut off by landslides caused by Manuel, are still being transported out of the Mexican resort of Acapulco.
More than 2,000 tourists have been airlifted from the Air Base Seven military facility north of the resort.
Since the weekend, passengers have been stranded in hotels and at Acapulco's international airport, where water flooded the terminal.
Manuel was almost immediately followed by Hurricane Ingrid, causing widespread devastation in the east of the country. It was the first time since 1958 that two powerful storms hit Mexico within 24 hours.
Main roads out of Acapulco have been blocked by landslips, leaving tourists and local residents stranded in the city and along Mexico's west coast. Floodwaters prevented passengers from using the airport's terminal at Acapulco international airport Residents help to unload humanitarian aid from a military plane at the Pie de La Cuesta military base A stranded boy sleeps next to his dog in a shelter as he awaits evacuation Stranded tourists took the opportunity to rest in a shelter in Acapulco Aircraft sit on the flooded tarmac at the airport of Acapulco A handful of supermarkets were looted by residents on Tuesday At Air Base Seven, soldiers guarded families who waited for hours outside the base until they were allowed to board one of the few aircraft which would take them to Mexico City.
In Acapulco, passengers were being taken directly from shelters to the runway because the main airport terminal remained closed.
"I see everybody helping," said Canadian tourist Michael Paliti, adding that he was "trying to get home as best as possible".
"We're desperate because we cannot return to our city or jobs. But for now, there's still no hope of returning," Isabel Duarte, another tourist, said.
Dozens of other towns in the south-western Guerrero state have also been hit by Manuel since it made landfall on Sunday.
The BBC's Darren Bett explains what weather Mexico can now expect over the coming days.
There are fears that remote hillside communities may be particularly affected. Manuel has now dispersed over south-western Mexico.
In the east, Hurricane Ingrid was downgraded to a tropical storm shortly before it made landfall on Monday near the town of La Pesca.
More than 20,000 people have since been evacuated in the state of Veracruz.
Mexicans are now hoping for a break in the weather to give them a chance to regroup and allow rescuers to operate more freely, the BBC's Will Grant in Mexico City reports.
But there seems to be no let-up in the rain and powerful winds for the time being, our correspondent adds.
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