Coca-Cola is suing Vue after the cinema chain ended a 25-year soft drinks partnership and switched to PepsiCo.
Vue operates more than 90 cinemas in the UK and Ireland and 222 sites across eight European countries.
The company put its drinks contract out to tender last year and selected PepsiCo in March.
Coca-Cola Europacific Partners Great Britain filed legal action to recover alleged unpaid debts after the contract ended.
It is understood Coca-Cola also owes money to Vue, though Vue did not pursue legal action.
Vue’s founder Tim Richards criticised the move, saying the dispute could have been resolved informally.
Vue said the winding-up petition has now been withdrawn and no money is outstanding.
The disputed sum was under £100,000, according to the cinema chain.
