The president's move sparked a strong USA protest and warnings by several countries against travel to the upmarket holiday paradise.
Yameen's office released a statement saying his government "welcomed the Supreme Court's revision".
"On behalf of Maldivian people we humbly request: 1) India to send envoy, backed by its military, to release judges and political detainees, including Prez Gayoom".
Former foreign secretary Shyam Saran also said India's options would be limited if it chose to "go it alone" in the Maldives, even though President Yameen's actions to contravene the Constitution could be seen as a "challenge to global order".
Several nations have called on the Maldives to respect the court order, with US State Department spokeswoman Heather Nauert alleging the President has "systematically alienated his coalition, jailed or exiled every major opposition political figure".
The spokesman for UN Secretary-General Antonio Guterres said he was seriously concerned about the declaration of a state of emergency and the entry of security forces into the supreme court premises.
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Since President Yameen took power in 2013, his government has faced allegations about trampling the freedom of speech, the detention of political opponents and the independence of the judiciary.
Addressing the nation on state television, Yameen said he had acted to prevent a coup, and suggested that the judges had chosen to side with his opponents because they were being investigated for corruption.
"In the light of the latest situation in the Maldive Chinese Foreign Ministry adjusted the security alert level and asked the Chinese citizens to closely follow the local situation and not to travel to the Maldives", Geng said.
On Monday he ordered the arrest of his estranged half-brother and former president Maumoon Abdul Gayoom, who had sided with the main opposition.
Abdullah Riyaz, a former Commissioner of Police said, "People of Maldives are demanding the President to step down".
She added, "President Yameen's refusal to implement the ruling puts him outside his constitutional mandate". Nasheed was jailed in 2015 after he was convicted on a terrorism charge widely seen as politically motivated.