The South Korean car company initially said it was in the “early stage” of talks with the iPhone maker about a possible electric car partnership.
But hours later it backtracked and said it was talking with a number of potential partners without naming Apple.
Hyundai’s share price rose more than 20% when the tie-up was announced.
“Apple and Hyundai are in discussions but they are at an early stage and nothing has been decided,” it said in a statement which was later revised. Hyundai’s value shot up $9bn (£6.5bn) after the Apple announcement.
While an updated statement said it was talking to a number of companies about a possible electric car tie-up including Apple, a later version omitted the US tech firm.
Apple is known for its secretiveness when it comes to new products and partnerships.
Last month, news emerged that Apple was moving forward with self-driving car technology with a 2024 launch date.
The electric vehicle (EV) market is becoming increasingly competitive, with companies such as Tesla grabbing the headlines with its rapidly-increasing valuation.