By Susan Mathew and Anisha Sircar (Reuters) -European shares rallied on Tuesday, taking cues from strength in Asian markets and on Wall Street, as peace talks between Russia and Ukraine yielded the most tangible sign yet of progress towards negotiating an end to the war. The pan-European STOXX 600 index climbed 1.6% to its highest in nearly a month, and extended gains to a third straight session, as a sell-off in bonds continued. [GVD/EUR] All major sectors were in positive territory, led by automakers and banks which jumped 5.9% and 3.8% respectively. Russia promised on Tuesday to scale down …