Sinn Féin leader Mary Lou McDonald says the Taoiseach has rejected her request for the Dáil to be recalled.
There have been growing calls from the main opposition parties today for TDs to return from summer recess in response to the controversy over the Oireachtas Golf Society event in Co Galway.
The calls also come amid the continuing criticism and confusion over some of the new coronavirus measures announced earlier this week.
Taoiseach Michéal Martin has ruled out the prospect of the Dáil being recalled this week.
Deputy McDonald this afternoon said she had spoken with the Taoiseach.
She said: "He has refused my request to recall the Dáil. He is wrong.
"The Government is increasingly chaotic, confused, with no direction. They must be held to account."
Deputy McDonald's party colleague Eoin Ó Broin earlier said TDs should return as a "matter of urgency" following this week's events.
Need for 'clear explanations'
Labour and the Social Democrats have also both called for TDs to return to Leinster House.
Social Democrats co-leader Catherine Murphy said: "Unless there is a coherent approach by the Government, there will be severe implications for our health service, education system and general economy.
"The events of the past 24 hours highlight the need for all relevant Government ministers to come into the Dáil and clearly explain what the strategy is for dealing with this crisis."
Labour leader Alan Kelly, meanwhile, says the Dáil should return so a new Agriculture Minister can be approved following Dara Calleary's resignation.
He said: "It is not acceptable for the Taoiseach to hold the Agriculture ministry when there are such pressing issues in the sector.
"There must be a new government Minister put in place to deal with the outbreaks we have seen in the meat processing sector.
"This cannot be left for three weeks while there are still clusters appearing in meat factories.
"Further, the Dáil must meet to deal with the critical issues facing our country including the reopening of our schools, the Leaving Cert and the confusion over COVID-19 restrictions."
