Russian President Vladimir Putin talked about the recent unrest in Spain while receiving the credentials of 20 new ambassadors to Russia on Tuesday.
"We stand for constructive, predictable and mutually beneficial cooperation".
Mr Huntsman had an up-and-down relationship with Mr Trump during last year's campaign. "We are convinced it should be based on the meticulous adherence to the principles of equality, respect of national interests and non-interference in domestic affairs".
"So far there are certain problems when it comes to reciprocity", Peskov told reporters.
The standoff between Moscow and the West will not ease until Russian President Vladimir Putin leaves office, a top European Union diplomat has claimed.
Catalan police ordered to crack down on disputed ballot
Millo said he would "keep hoping until the last minute that the Catalan government has a change of heart and calls off the referendum ".
In August, the US adopted a new package of stiff financial sanctions against Russian Federation, aimed at punishing Moscow for interfering in the USA election and for its military aggression in Ukraine and Syria, where the Kremlin has backed President Bashar Assad.
Huntsman, 57, who was the ambassador to China for the Democratic administration of Barack Obama before taking a 2012 stab at becoming the Republican presidential nominee, formally severed his ties to the world's third-largest publicly traded oil explorer on September 28, Chevron said in a public filing Tuesday.
During his Senate confirmation hearings last week, Huntsman made clear what he thought about the accusations, despite statements by Trump calling them a hoax: "There is no question, underline no question, that the Russian government interfered in the U.S. election past year". "I must admit that we are very much concerned about Spain", Putin said.
Huntsman will be performing one of the most hard jobs on the diplomatic circuit.
His successor, career diplomat John Tefft was summoned out of retirement and served as U.S. ambassador to Russian Federation between 2014 and 2017.