If you are eyeball to eyeball with someone, you are in their presence and involved in a meeting, dispute, or contest with them. You can also talk about having an eyeball to eyeball meeting or confrontation. proposals that the two armies end their eyeball to eyeball confrontation and withdraw. = face to face
Your eyeballs are your whole eyes, rather than just the part which can be seen between your eyelids
emphasis You use up to the eyeballs to emphasize that someone is in an undesirable state to a very great degree. He is out of a job and up to his eyeballs in debt. to look directly and closely at something or someone