The Nicaraguan bishops had demanded an worldwide observation mission as a condition for dialogue, amid a crackdown on protesters by police and supporters of Ortega's government.
"The government of Nicaragua expresses its consent that the Commission ... carries out its work with the objective to observe in loco the human rights situation in Nicaragua in the context of what happened on April 18" when protests initially broke out.
Earlier on Monday, Luis Almagro, the head of the Organization of American States, which includes the IACHR, posted a letter on his Twitter account from Nicaraguan Foreign Minister Denis Moncada inviting the IACHR to visit the country.
NicaraguaÂ´s national dialogue for peace, convened by the President Daniel Ortega for today in this capital with the Episcopal Conference as a mediator and witness, opens up an atmosphere of expectations. The Inter-American Commission has a mandate to promote respect for and to defend human rights in the region and acts as a consultative body to the OAS in this area.
Cardenal Leopoldo Brenes said that while the conditions were not the best for starting the dialogue Ortega had offered, the country had to find some way out of the crisis.
The church hopes that the meeting will structurally address the issue of the country's institutions with the aim of paving the way towards its democratization. He also called for an end to the violence and looting.
Before Saturday's deaths and several other deaths reported on Thursday, a human rights group estimated 63 people had been killed.
The protests forced Ortega to withdraw cuts to social security payments, and demonstrators are now demanding justice for the dead and greater democracy.