• Pressure escalated inside the United States for a grounding of the Boeing 737 Max model that has crashed twice in the past six months. But the Federal Aviation Administration reiterated its position that the plane is considered safe and that it has “no basis to order grounding the aircraft.”

• The European Union suspended “all flight operations” of the Boeing 737 Max model in question. The action came as more than a half-dozen other countries grounded the plane, and was the most sweeping regulatory action taken so far in the two days since the crash of a Max 8 that killed 157 people on a flight from Addis Ababa, Ethiopia, to Nairobi, Kenya.

• President Trump had a telephone conversation with the chief executive of Boeing, who made the case that the 737 Max 8 should not be grounded in the United States, according to two people briefed on the conversation.

• Mr. Trump also said on Twitter that commercial airplanes had become overly technical, but said nothing about the Boeing Max.

• At least 34 airlines have now grounded the Max 8, which means roughly two-thirds of the Max 8 planes in operation are now idled. The major outliers are Southwest and American in the United States, and Air Canada.

• Boeing stands by the airworthiness of the plane, but said it planned to issue a software update and was working on changes to flight controls and training guidelines following the first crash, of a Lion Air flight in Indonesia last October.

[Read more about the latest developments in the wake of the Ethiopian Airlines crash.]

• Boeing’s stock price, which fell 5 percent on Monday, fell 6 percent on Tuesday.

• Investigators from the United States and elsewhere are at the crash site of Ethiopian Airlines Flight 302. Much of the investigation will focus on the voice and data recorders recovered on Monday. The airline’s chief executive, interviewed by CNN, said the pilots had told air traffic control they were having “flight control problems.”