arriving at or coming towards a place

incoming mail/phone calls 寄来的邮件／打进来的电话

an incoming flight 进港航班

soon to start something such as a job because recently chosen or elected

the incoming government 新任政府

What are the biggest problems faced by the incoming president? 新任总统面临的最大问题是什么？

US Incoming freshmen (= students in the first year at college) start a week before everyone else. 大学一年级新生比其他学生早开学一周。