steal (one's) heart
To captivate one; to instill in one a deep affection or love. You stole my heart the moment I met you. The young actress has stolen the nation's heart.
steal someone's heart
Fig. to capture someone's affections; to cause someone to fall in love with oneself. When I first met him, I knew he would steal my heart away. And he did.
steal (someone's) heart
To win one's affection or love.