But disputes between major economies such as the United States, the European Union, China and India bogged down the discussions.
Deputy US Trade Representative Michael Punke expressed "a great deal of sadness" over the failure.
"We're worried - alongside so many in this room - that a once-in-a-generation opportunity may have slipped our grasp," he said.
Some diplomats, like Moroccan Ambassador Omar Hilale, held out hope that trade ministers could still reach a deal when they meet in Bali. But most said it was too late.
Azevedo said there remains so much disagreement that several more weeks of negotiations could not close the gaps.
"Holding negotiations in the short time we'll have in Bali would be simply impractical with over 100 ministers around the table," he said.
The Bali summit has been cast as a last chance to revive the so-called "Doha Round" of WTO-brokered talks that began in Qatar in 2001 and frustrated Azevedo's predecessor, Pascal Lamy.
The lack of a global deal has not prevented individual countries from making agreements among themselves. The European Union, for example, has signed free trade pacts with South Korea and Canada. It is in separate talks with the US and Japan as well.
But Azevedo said the failure to reach a global deal leaves poorer countries worse off.
It also hurts the WTO's credibility. The WTO will only be viewed as a trade court and no longer as a forum for governments to negotiate trade agreements, he said.
"We will fail not only the WTO and multilateralism," he said. "We will also fail our constituencies at large, the business community and, above all, the vulnerable among us. We will fail the poor worldwide."