He won once in Zhuhai before losing to Alex De Minaur but then beat Cameron Norrie and Matteo Berrettini in Beijing.
Murray was subsequently handed a wildcard at the Shanghai Masters and drawn against world No 56 Londero, triumphing in three sets to reach the last 32.
The Brit started slowly, saving three break points in his opening, 14-minute service game.
He did force three similar opportunities on the Londero serve at 2-1 but it was the Argentinian who drew first blood one game later, and he redoubled his advantage a few minutes later when Murray blew a 40-0 lead via a missed forehand and two double-faults to drop the first set 6-2 in 49 minutes.
SHANGHAI, CHINA - OCTOBER 07: Andy Murray of Great Britain in action against Juan Ignacio Londero of Argentina during 2019 Rolex Shanghai Masters at Qi Zhong Tennis Centre on October 7, 2019 in Shanghai, China. (Photo by Fred Lee/Getty Images)
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The three-time Grand Slam champion showed his pedigree and signature fighting spirit in the second set though, breaking immediately from 40-15 down in the opening game to dominate the set and level the match after 90 minutes and force a decider.
It was the fourth time on this Chinese swing that Murray had found himself in a crucial third set but the inconsistency of his game has still not been shaken off and there were three consecutive breaks of serve in the heart of the set.
But Murray emerged on the better side of the volley of breaks and served for the match after more than two hours.
Even that was not easy as he had to save two break points before winning four straight points and sealing a place in the second round and a clash with Italian Fabio Fognini.