lutati

1. (of a person, animal) to wander; to roam
   Ceo dan smo lutali po starom gradu. — We wandered around the old town all day.
   Izgubili smo se i lutali po šumi satima. — We got lost and wandered through the forest for hours.
2. (of thoughts, gaze) to wander; to drift
   Na sastanku su mi misli stalno lutale. — My mind kept wandering during the meeting.
3. (when seeking a solution) to be off track; to grope for a solution
   Dugo smo lutali dok nismo pronašli pravo rešenje. — We groped around for a long time before we found the right solution.

The place is usually expressed with po + locative: lutati po gradu.