beckon
To signal someone to come closer or follow you.
To beckon means to make a gesture, usually with your hand or finger, that signals someone to come closer or follow you. Picture a teacher standing at the classroom door, curling her finger in a “come here” motion toward a student in the hallway. That's beckoning.
The gesture itself is often small and quiet: a wave of the hand, a tilt of the head, or a simple curling motion with one finger. You might beckon to a friend across a crowded cafeteria to come sit with you, or a librarian might beckon you to approach the desk when it's your turn.
The word can also describe things that attract or invite you in a more poetic way. A cozy reading nook might beckon on a rainy afternoon, or the smell of fresh cookies might beckon you toward the kitchen. In this sense, something that beckons calls to you or draws you in, even though it's not literally making hand gestures. When opportunity beckons, it means a chance presents itself and seems to be calling you forward.