The ruling party is alleging fraud over a leaked audio of EC chief Ahmed Shareef.
Ahmed Latheef previously served as the Maldives ambassador to China.
A dozen lawmakers were deemed to have lost their seats for crossing the floor.
Pakistan's prime minister Imran Khan called Solih on Monday morning.
Hamdhoon Rasheed was promoted from the assistant commissioner of police.
The Maldives president lost a recent election by more than 38,000 votes.
The elections body said a total of 423 complaints had been received by Thursday.
China has been accused of land-grabbing and dragging the Maldives into a debt-trap.
India and China could work together in the Maldives, said the Global Times.
The ruling party wants voting complaints investigated.
The ruling party has alleged fraud in the presidential election.
All parties and leaders will have a say in things, said the president-elect's spokeswoman.
The Maldives is heavily indebted to China.
It was Solih's first meeting with a coalition partner since winning the election.
Foreign governments are happy with the election outcome.
The president's office said the boxes contained private property.
Rolling coverage of the Maldives presidential election.