magnetic

Very attractive or charming, having to power to draw others to his/her/itself. Being able to exert an influence on the minds of others.

The exchange student had a magnetic personality even if she didn't speak fluent English.

When the guest spoke, the audience was drawn by her magnetic speech.

Student 1: Yo, why is this girl so magnetic?
Student 2: She's got a sexy accent and can talk anyone into doing anything

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persuasive

Having the power to convince based on reasoning, emotional appeal, threats, or personal attractiveness.

The lawyer's closing argument against the energy company was persuasive to the jurists.

The charming saleswoman could be very persuasive with male customers.

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captivate

To capture and hold someone's attention with one's own charisma or magnetism; attract strongly.

The dancer captivated her audience with her deep eyes and exotic movements.

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Charm

A quality that attracts others to oneself. (noun)
Using one's attraction to persuade someone into doing something (verb).

Lucy's charm made her date feel at ease and special.
Michelle charmed the policeman into letting her go without getting a speeding ticket.

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