Sinn Fein's senator Niall O Donnghaile is set to put the issue of a controversial tweet from Lord Kilclooney before the Seanad.
Mr O Donnghaile, who formerly served as Lord Mayor of Belfast, said he would be raising the issue in the upper house of Irish parliament on Tuesday.
In a tweet on Monday Lord Kilclooney referred to Taoiseach Leo Varadkar as a "typical Indian".
He went on to defend the tweet, and said he was "certainly no racist".
"An Irish politician would not have done the same," he added saying he helped Indians "very often" on matters such as visas.
"But VARADKAR seems to delight in provoking Unionists. This I regret as he is damaging the good North/South relations which followed the Belfast Agreement."
He was reacting after the BBC reported that DUP MP Sir Jeffrey Donaldson said Mr Varadkar's visit showed disrespect, and was "outside normal protocol" as local politicians had not been informed about it beforehand.
I will be asking members to support a call that the British House of Lords acts regarding the consistent and abusive nature of the tweets directed by one of their members to An Taoiseach Leo Varadkar.
Mr O Donnghaile said he would be asking members to support a call that the British house of Lords acts "regarding the consistent and abusive nature of the tweets directed by one of their members to An Taoiseach Leo Varadkar".
“Recently, Seanad members have engaged positively recently with members of the House of Lords Brexit Committee and will no doubt be aghast at the nature and tone of the tweets last night," he said.
“All avenues should now be explored regarding the abusive and racist content and the Seanad should make our view known to the British House of Lords and encourage them to act in the interest of good relations, positive cooperation and opposing such crass and ugly sentiment as expressed by John Taylor.”