The proposals come during the first official visit to Ireland by a Ukrainian president and first lady.
Zelensky is expected to address both Irish houses of parliament – the Dáil and the Seanad.
He is also scheduled to attend the inauguration of the Ireland-Ukraine Economic Forum, alongside the Tánaiste (Irish deputy prime minister) Simon Harris and McEntee.
And he will meet the taoiseach again for a bilateral meeting and pay a courtesy visit to newly inaugurated Irish president Catherine Connolly in Áras an Uachtaráin on Tuesday.
The Irish government said the visit is an opportunity to underpin “the very close and warm relations” between the two countries.
In a social media post, Martin said: “Our support for the people of Ukraine as they defend their freedom and democracy remains unwavering.”
Harris added that “the people of Ireland stand with the people of Ukraine”.
“We look forward to a productive visit today and our ongoing support for a lasting, enduring peace,” he said.