PARIS — The Trump administration’s infatuation with Saudi Arabia — a defining element of President Trump’s early foreign policy — is cooling.

The kingdom’s impetuous effort last month to foment a crisis in Lebanon was the tipping point, but administration officials have been concerned for some time about the kingdom’s embargo of Qatar and its disastrous war in Yemen.

On Friday, Secretary of State Rex W. Tillerson had critical words for the Saudis.

“With respect to Saudi Arabia’s engagement with Qatar, how they’re handling the Yemen war that they’re engaged in, the Lebanon situation, we would encourage them to be a bit more measured and a bit more thoughtful in those actions to, I think, fully consider the consequences,” Mr. Tillerson said at a news conference at the French Foreign Ministry in Paris.

President Trump’s obvious affection for the kingdom — it was the first country he visited as president — had long muted any criticism. Mr. Tillerson, for instance, suggested on more than one occasion that he favored Qatar in its dispute with Saudi Arabia, but President Trump overruled him and made clear that he sided with the Saudis.