The 'message of sympathy" was sent out by President Abdulla Yameen, where he had also said that he was deeply "grieved' to learn about the devastation caused by the 8.1 magnitude natural disaster.
The U.S. National Hurricane Center says Katia had winds of 105 miles per hour (165 kph) early Friday afternoon, with strengthening expected.
Katia could bring life-threatening flash floods to areas in the mountains just to the west.
The southern town of Juchitan in Oaxaca state, near the epicentre, was hit particularly hard, with sections of the town hall and other buildings reduced to rubble.
In neighboring Tabasco state, two children were killed, the governor said.
He said the possible death occurred in San Marcos state near the border with Mexico. One was crushed by a collapsing wall. In Juchitan alone, thousands of houses collapsed, the town's authorities said.
"On Saturday, the National Coordinator of Civil Protection, Luis Felipe Puente, said in an interview with that same media outlet that the preliminary death tally from the quake was 65", of whom 15 were in Chiapas, 46 in Oaxaca and four in Tabasco".
The quake occurred near the point of collision between three tectonic plates, the Cocos, the Caribbean and the North American.
The death toll from Mexico's huge quake has risen to 32.
Residents sleep in a shelter in the aftermath of a massive quake, in Juchitan, Oaxaca state, Mexico, late Friday, Sept. 8, 2017.
Rescuers pried several survivors from the rubble in Juchitan Friday, but also discovered others who had died.
Rescue officials search for victims
The odd lights people saw and documented on social media are believed to be part of an unusual phenomenon, which is caused by the activation of electrical charges on certain types of rock during a quake. The U.S. Geological Survey puts both at 8.1 while, though the Mexican seismologists calculate them at 8.2.
Soldiers help children to get on a truck as residents are evacuated from their coastal town after an quake struck off the southern coast, in Puerto Madero, Mexico. No further details have been provided.
The earthquake's impact was blunted somewhat by the fact that it was centred 100 miles (160 kilometres) offshore. At least 90 deaths have been affirmed so far and the fatalities are expected to continue to increase.
The Foreign Ministry says that no South Korean casualties have been reported as a result of a powerful quake in Mexico.
On Wednesday Netanyahu will make his way to Mexico - the world's second-largest Catholic country - for meetings with President Enrique Pena Nieto and representatives of the local Jewish community.
Mexican officials ordered schools to remain closed Friday in 11 states, including Mexico City, so they could inspect for structural damage. Strong aftershocks continue to rattle the town, including a magnitude 5.2 jolt in the early morning. Smaller tsunami waves were observed on the coast or measured by ocean gauges elsewhere.
The centre's forecast said Ecuador, El Salvador and Guatemala could see waves of a meter or less.
No threat was posed to Hawaii and the western and South Pacific.
The 8.1-magnitude quake, which struck off the coast of Chiapas on Thursday, was the strongest the Latin American country had seen in a century.
"During this time of national distress, the Government and people of the Maldives join me in conveying our deepest sympathies to Your Excellency, the Government and the people of Mexico, and in particular, to those who were directly affected by this calamity" the message said.
Mexico's government is distributing food to jittery survivors of an natural disaster that destroyed a large part of the city of Juchitan.
(Neb)-Sasse Opposes Pullout From Korean Free Trade Agreement
Mr Trump's push to revise the deal is part of his broader drive to tackle unfair trading practices and cut the U.S. trade deficit. The administration has been in talks to make adjustments to the trade agreement with South Korea .