Sentence:  A line of clocks in our cheap hotel displays the time in Lagos, Bucharest, Kiev: the capitals of pilgrims who come to kneel at the birthplace of Christ. In reality the entire world <WSD>funnels</WSD> through the Church of the Nativity. 
Meaning of the word marked with <WSD> tags:  To proceed through a narrow gap or passageway akin to a funnel; to narrow or condense.