"Cordial relations" refers to a warm and friendly interaction between people or groups. It means that they have a pleasant and respectful relationship with each other. Full definition
The comment was widely perceived to be a knock at senators such as John Kerry of Massachusetts who maintained cordial relations with Assad in the months leading up to his crackdown on protesters. (cnbc.com)
While most Messianic leaders maintain cordial relations with Rosen, to many he is an expendable commodity. (religion-online.org)
The meeting afforded the two leaders an opportunity to commit themselves to strengthening the already cordial relations between the two countries and governments. (citifmonline.com)