MOSCOW (AP) — While Donald Trump came home to criticism from left and right after his first summit with Vladimir Putin, the Russian president came home to universal praise.

Instead of being portrayed as a duel on the world stage, the summit was viewed in Russia as a meeting of two mighty men who discussed global problems — and then had to face down a crowd of pesky journalists.

Back in Moscow, Russian authorities quickly jumped to act on Putin's overtures.

The Russian military offered Tuesday to boost military cooperation with the U.S. in Syria after Putin claimed the two leaders found common...