Deputy First Minister Michelle O'Neill has said she had a "very good" conversation with the Queen, where they discussed the need to "focus on reconciliation".
First Minister Arlene Foster and the Sinn Fein vice-president spoke to the monarch in separate phone calls on Wednesday.
Tweeting afterwards Mrs Foster said: "Just had an audience by telephone with HM the Queen.
"Entirely up to date with what is happening in this part of her kingdom and in particular how we are dealing with Covid 19."
Speaking to the Belfast Telegraph during a visit to a farm in Strabane, Mrs O'Neill said she talked to the Queen, who was at Windsor Castle, about a number of things. "We talked about the Covid crisis and how it is impacting across our two islands," she said.
"We talked about the fact that we have big challenges ahead of us in terms of the economy to try and build on the back of Covid-19 and on the back of Brexit.
"We also talked about the fact that next year will see the centenary of the partition of this island and we talked about the need to have a focus on reconciliation and let's not fight the battles of the past.
"We had a very good conversation and I wished her well."
The Deputy First Minister faced online criticism of her telephone audience with the Queen from some republicans on social media.
While Sinn Fein's MPs do not take their seats at Westminster, senior figures have met members of the royal family several times.
Mrs O'Neill's predecessor as Deputy First Minister Martin McGuinness met the Queen in 2012.
They exchanged a handshake and a few brief words during a royal visit to mark the Queen's Diamond Jubilee. The meeting took place at the Lyric Theatre in Belfast, where the monarch was attending a charity event.
And in 2014 Mr McGuinness was a guest at a banquet in Windsor Castle held as part of a State visit to the United Kingdom by Irish President Michael D Higgins.
At the banquet Mr McGuinness, a former IRA commander and prisoner, joined in a toast to the Queen proposed by Mr Higgins.
The following year Gerry Adams shook hands with Prince Charles at an event in Galway.