Austrian Chancellor Christian Kern said earlier Monday that Brussels should end talks after the results of Sunday's referendum in which "Yes" won by 51.41 percent.
The narrow vote was ruled valid by Turkey's electoral body, despite claims of irregularities by the opposition.
The deputy head of the Republican People's Party (CHP), Erdal Aksunger, also said it could appeal up to 60 percent of the vote.
The referendum has no "democratic legitimacy", HDP spokesman and MP Osman Baydemir told reporters in Ankara.
But the opposition were not content to rest on their better-than-expected performance despite a lopsided campaign in which the Yes camp enjoyed vastly greater resources and dominated the airwaves.
Turkey's president has angrily rejected criticisms by worldwide observers that the country's referendum campaign was conducted on an "unlevel playing field".
The referendum on constitutional amendments in Turkey on Sunday was not in compliance with the standards of the Council of Europe, global observers from OSCE Office for Democratic Institutions and Human Rights (ODIHR) said in a statement. Opposition parties also pointed out that the electoral commission had accepted ballots without official stamps on them, which may easily allow for fraud.
Opposition supporters took to the streets of Istanbul to bang pots and pans, a traditional form of protest, in a series of noisy demonstrations.
Republicans avoid town halls after health care votes
Coffman vowed to protect coverage for those with pre-existing conditions and committed to changes in the current Medicaid formula. She told Coffman her grandparents died at Auschwitz and that she was alarmed over the "anti-semitic people" in Trump's cabinet.
The new system is due to come into effect after elections in November 2019.
When Erdogan took over the largely ceremonial post of President after serving 11 years as Prime Minister, one thought this was the beginning of the gradual phase-out of the 63-year-old politician.
Germany and France were among European Union member states who said on Monday that the close result in the referendum showed the division in Turkish society, while others questioned Europe's relations with the country. All this resulted in voter's lack of accessibility to plurality of views.
Therefore, "the German government expects the Turkish government to look for a respectful dialogue with all political and social groups in the country", according to the statement.
For Turkey - under a state of emergency issued by Erdogan's government since last July's failed coup and having experienced mass crackdown on its citizens - the referendum has exposed bitter divisions in the country.
Supporters of the "Yes" vote celebrate in Istanbul, on Sunday, April 16, 2017.
Saudi Arabia, meanwhile, praised the "success" of a referendum.
Some chanting "thief, Erdogan" and "no to the presidency" showed their anger at the Yes victory to change the constitution and grant sweeping powers to the president. The cabinet said it hoped the vote would contribute to "more development success across the country".
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