The orders had been scrapped as part of an escalating, multibillion-dollar legal battle over the paint issue, which the airline had claimed could pose a safety concern. Airbus repeatedly denied the claims.

Airbus and Qatar Airways earlier Wednesday said in a joint statement that they had reached an “amicable and mutually agreeable settlement” in relation to the legal dispute. The companies didn’t disclose the details of the settlement other than to say the agreement didn’t amount to an admission of liability from either party. A program to repair the degradation on Qatar’s current fleet is under way, the companies added.

Qatar Airways had previously grounded 29 of its A350 jets and refused new deliveries over the issue, reducing its capacity amid a surge in travel to Doha for the 2022 FIFA World Cup. The airline has said the peeling paint was exposing the meshed copper foil that is designed to protect the aircraft from lightning strikes.

That led Qatar Airways to initiate legal proceedings against Airbus in London, in which the carrier had sought damages partly based on the impact on its operations from not being able to use the aircraft. A possible trial had been scheduled for later this year.

While the paint issue has also affected other A350s in service at other Airbus customers, only Qatar Airways had taken the step to unilaterally ground the aircraft. Airbus and the European Union Aviation Safety Agency, which oversees the Toulouse, France-based plane maker, have insisted that the issue is only cosmetic.

The situation had led to a broad fallout between Airbus and one of its biggest customers. In August, Airbus ended all new business with Qatar Airways, canceling contracts valued at more than $13 billion according to the latest available list prices and before the hefty discounts plane makers typically give to customers.

After Airbus canceled a deal to sell Qatar Airways 50 of its A321 jets, the Gulf carrier ordered up to 50 of rival

Boeing Co.

’s 737 MAX 10 single-aisle jets within two weeks. Qatar Airways had previously canceled most of an existing MAX order in 2020 after receiving five of the planes.

Airbus lawyers alleged that Qatar Airways had exaggerated concerns about the issue in an attempt to claim compensation and refuse delivery of aircraft that it didn’t need as the pandemic hit demand for air travel. The plane maker complained in court that the airline and its regulator, the Qatar Civil Aviation Authority, had failed to provide documentation that showed the technical justifications behind grounding the aircraft.

Qatar Airways has said it provided images of the damage, which it purported showed the scale of the issue and the potential safety risk.

Qatar Airways Chief Executive

Akbar Al Baker

has long had a reputation as a tough customer, publicly lashing out at both Airbus and Boeing when he perceives delivery or quality issues.

Write to Benjamin Katz at ben.katz@wsj.com