The negotiations, which started on Sunday in Washington, resumed on Monday behind closed doors, and party leaders are expected to reach agreement on establishing the office of the country's president as well as on strengthening the government at the state level and strengthening the state parliament.
If they manage to reach agreement on Tuesday, they are expected to sign a statement on constitutional changes which should lead Bosnia into a post-Dayton period and steer it towards the European Union.
On Monday, representatives of the Bosniak (Bosnian Muslim) people said that the negotiations were not run smoothly.
On Sunday evening, Sulejman Tihic, the leader of the Democratic Action Party (SDA), the country's strongest Muslim-majority political party, left the negotiations dissatisfied with the course of the talks.
"The proposed solutions (...) do not meet even the minimum of needs for Bosnia-Herzegovina to be arranged as a modern and functioning state," the SDA said in a statement after the media in Sarajevo reported that Tihic had walked out of the Washington talks.
Pointing out that cosmetic changes that were offered would not help improve the situation in the country, the SDA said it was strongly opposed to "unprincipled compromises in the benefit of those standing in Bosnia-Herzegovina's path to membership in Euro-Atlantic structures."
One of participants in the negotiations told Hina in Washington that Tihic was expected to return to Washington on Monday.
Another source close to negotiators representing the Croat people said the dispute was sparked off by proposed provisions on the future institution of president. Bosniaks insist that the country has one president while Serbs and Croats oppose it.
Under the Dayton peace accords, which were concluded ten years ago, Bosnia has a three-member presidency comprising a representative of each constituent people.