A state visit to the UK by US President Donald Trump “should be put on hold”, says First Minister Carwyn Jones.
A petition against President Trump’s visit has attracted more than one million signatures after he halted the US refugee programme for 120 days.
Mr Jones said a visit was “not his call” but “it’s very difficult to see it go ahead with the current state of affairs in the US”.
Welsh Secretary Alun Cairns said he would welcome the president to Wales.
On Friday, Mr Trump signed an executive order indefinitely banning all Syrian refugees and suspending the entry of all nationals from seven Muslim-majority countries.
The ban applies to nationals from Iran, Iraq, Libya, Somalia, Sudan, Syria and Yemen.
Downing Street has rejected calls to cancel the state visit, saying it would be a “populist gesture”.
Mr Jones has told Prime Minister Theresa May that a state visit from Mr Trump would be “difficult in current circumstances” at their meeting in Cardiff on Monday.
He said the UK has to “deal” with the US government, “but that doesn’t mean we simply accept without criticism everything that is said.”
Mr Cairns said while he disagreed with the immigration ban, he would “of course” welcome Donald Trump to Wales.
He told the BBC’s Good Morning Wales programme that “positive engagement” was the best way to work with the new US president.
Demonstrations will be held across Wales on Monday, including in Cardiff, Swansea and Aberystwyth, in response to the move.
Around 40 anti-Trump protestors gathered outside Cardiff City Hall where the Joint Ministerial Committee, which included Prime Minister Theresa May of was held early on Monday afternoon.
Some unfurled a banner reading: “Deals with the Devil”, and as Mrs May left City Hall there were boos and shouts of “Theresa the Appeaser”.
Plaid Cymru leader Leanne Wood said: “Trump’s actions have rightly been met with anger around the world and should be condemned without reservation by us all.”
Shadow Defence Secretary Nia Griffith told the House of Commons she was “embarrassed and ashamed” by Theresa May’s decision to “hold Trump’s hand instead of holding him to account”.
She said: “Her belated and limp reply of ‘we do not agree’ was pathetic.”