to lay siege to.

to crowd around; crowd in upon; surround

Vacationers besieged the travel office.

to assail or ply, as with requests or demands.

verb

leave alone

verb

assail , attack , beleaguer , beset , blockade , come at from all sides , confine , congregate , encircle , encompass , environ , hem in , invest , lay siege to , shut in , trap , work on , work over , badger , bug * , buttonhole * , harass , harry , hound * , importune , nag , pester , plague , trouble , siege , close in , enclose , envelop , hedge , hem , bedevil , hound , solicit , annoy , assault , belay , close in on , crowd , embattle , girt , obsess , press , storm , surround