As an adjective describing a person or their behavior:
* The hotel staff were cordial and welcoming, making us feel right at home.
* After years of feuding, the two families finally had a cordial reunion.
* Her cordial demeanor made her a popular figure in the community.
As an adjective describing a relationship or interaction:
* We had a cordial conversation, despite our differences of opinion.
* The meeting between the two leaders was cordial, suggesting a possible resolution to the conflict.
* The company maintains a cordial relationship with its suppliers.
As a noun:
* They served us a delicious cordial after dinner. (A sweetened, flavored drink, often alcoholic)
* The doctor recommended a cordial to soothe my cough.
You can also use "cordially" as an adverb to emphasize the politeness or warmth of an action:
* We were cordially invited to the party.
* He thanked her cordially for her help.