BEIJING, July 15 (Reuters) - China's top diplomat Wang Yi told the Indian foreign minister that bilateral ties need to be stabilised, as the two Asian neighbours searched for ways to ease simmering military tensions along their vast border. On the sidelines of ASEAN meetings in the Indonesian capital of Jakarta, Wang told Indian External Affairs Minister Subrahmanyam Jaishankar that mutual support between the two nations is needed instead of suspicion, according to a readout from the Chinese foreign ministry. India and China share a 3,800-km (2,360-mile) frontier, much of it poorly marked, and fought a brief but bloody war...