The Sri Lankan president had dissolved the parliament on Saturday and ordered fresh polls on April 2
It was not immediately clear whether President Chandrika Kumaratunga wanted parliamentary approval of the plan before putting it into place.
The Sri Lankan president has withheld the official gazette notification necessary to formalise the decision to impose emergency.
Chandrika Kumaratunga did not say what action her government would take if the Tigers did not respond to her two-week deadline.
Kumaratunga told visiting European Union Commissioner for External Relations Benita Ferrero-Waldner Monday that she expected talks to begin soon for lasting negotiated settlement in the country.
She was warmly received by Minister of State for External Affairs E Ahamed at the Indira Gandhi International Airport.
President Kumaratunga has embroiled the nation in a crisis by sacking three ministers and suspending parliament.
The prime minister, however, made it clear that he will not discuss the president's proposal to form a government of national unity.
Kumaratunga will hold talks with Prime Minister Manmohan Singh and United Progressive Alliance chairperson Sonia Gandhi.
Harin Peiris also said Kumaratunga would break up the island's embattled northeastern province.
Former Sri Lankan President Chandrika Kumaratunga does not share the view that India's vote against Sri Lanka at the United Nations Human Rights Council was a "letdown" as she feels that there must have been "justifiable reasons" for the decision.
The ongoing war between the Sri Lankan government and the Liberation Tigers of Tamil Eelam cannot be a solution to the ethnic conflict in the island nation and only a negotiated settlement will bring lasting peace in the nation, former Sri Lankan president Chandrika Kumaratunga said in New Delhi on Tuesday.
But no party managed to cross the magic number of 113 needed to enjoy an absolute majority in the 225-member legislature, pointing to either a minority government or a shaky coalition.
"We will leave the government if the President does not withdraw the joint mechanism plan with Liberation Tigers of Tamil Eelam by June 15," the Marxist Janatha Vimukthi Peramuna or People's Liberation Front said.
The Enforcement Directorate on Thursday said it has attached Indian assets of a Sri Lankan man and his son as part of a drugs-linked money laundering investigation against them.
Prime minister Ranil Wickremesinghe's office said President Kumaratunga's offer to share powers in the defence ministry was unworkable.
The president used her executive powers to impose the state of emergency which gives sweeping authority to the\n\nsecurity forces to arrest and detain suspects.
Sri Lanka's Supreme Court ordered presidential elections by the end of the year.
Sri Lanka's Supreme Court on Thursday suspended a contentious deal between the government and the Tamil Tiger rebels to disburse billions of dollars of foreign aid to tsunami survivors.
Speaker Joseph Michael Perera said Kumaratunga had no authority to prorogue Parliament without the concurrence of the legislature.
President Chandrika Kumaratunga and Prime Minister Ranil Wickremesinghe met behind closed doors for about two hours, but neither side showed signs of compromise, the sources said.
They assured that they will 'not try to topple the government' despite a ruling coalition partner threatening to quit over the issue.
The two sides were expected to discuss Colombo's plans to enter into a deal with Tamil Tiger rebels to handle millions of dollars in foreign aid for tsunami survivors.
Ratnasiri Wickremanayake was chosen over foreign minister Anura Bandaranaike, the brother of former president Chandrika Kumaratunga
Anura Bandaranaike, brother of President Chandrika Kumaratunga, was named Sri Lanka's new foreign minister on Monday.
The stage is now set for what is expected to be the most closely contested Presidential polls in Sri Lanka, with the incumbent Mahinda Rajapaksa and his main challenger Sarath Fonseka are exuding full confidence of emerging victorious.
Unidentified snipers shot Kadirgamar in the head and heart late Friday at his home in the capital Colombo. No one has claimed responsibility for the assassination, but Kumaratunga and military officials have roundly blamed Tamil Tiger rebels.
The slain editor of a prominent Sri Lankan newspaper, known for its vocal anti-establishment stand on the war on the Liberation Tigers of Tamil Eelam, was buried in Colombo on Monday as the government came under heavy flak, including from a senior ruling party leader, for failing to stop attacks on the media.Former president and ruling Sri Lanka Freedom Party leader Chandrika Kumaratunga joined the growing number of opposition politicians and media watchdogs.
The delegation said it was suspending its role until the president and prime minister resolved their differences.
President Chandrika Kumaratunga has said the truce her prime minister signed with Tamil rebels is illegal, reports the BBC
Earlier in the day, Chandrika Kumaratunga had sacked three senior ministers.
Sri Lankan President Chandrika Kumaratunga on Saturday imposed a state of emergency to deal with the aftermath of the assassination of her foreign minister Lakshman Kadirgamar.
