The correct phrase is “cordially invites you”.
This is because “cordially” is an adverb modifying the verb “invites,” and “you” is the object of the invitation. The subject of the sentence (such as “he,” “she,” or “the company”) is typically singular, so it requires “invites” (the third-person singular form of the verb).
For example:
- “The company cordially invites you to the event.”
- “She cordially invites you to join us.”
