India also congratulated the people of Myanmar for the orderly conduct of voting and the peaceful and exemplary conduct of the electorate.
General elections for the Myanmar Parliament and Region and State Parliaments were held on November 8 within the framework of the 2008 Constitution and were open to international observers.
India had deputed a 3 member team of election observers from the Election Commission of India.
Congratulating the electorate, it added, "We trust that the electoral outcome would be respected by all parties".
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Suu Kyi's party the National League for Democracy (NLD) has won nearly 90 per cent of the seats, the results of which have been declared so far.
Although poll officials are yet to announce the NLD as winners, Myanmar's balance of power, dominated for half a century by the army and its allies, appears set to be redrawn.
"Citizens have expressed their will in the election," she said in letters addressed to President Thein Sein, Commander-in-Chief Min Aung Hlaing as well as influential parliamentary speaker Shwe Mann.
"I would like to invite you to discuss national reconciliation next week at a time of your convenience."
The letters were shared by the NLD on Facebook.