This scene between Marlon Brando and Eva Marie Saint was partly improvised; during rehearsals Saint accidentally dropped her glove and Brando went along with it rather than break character. Elia Kazan, the director, liked it so much that he had the actors repeat it for the final take. Kazan said about the scene:
The glove was his way of holding her. Furthermore, whereas he couldn’t, because of this tension about her brother being killed, demonstrate any sexual or loving feeling towards her, he could towards the glove. And he put his hand inside the glove, you remember, so that the glove was both his way of holding on to her against her will, and at the same time he was able to express through the glove something he couldn’t express to her directly.