Key or kiss key or kiss?

A friend of mine is giving an English class to a class of students who recently moved to America and put a lot of daily necessities on the table.

He asked all the members of the class to give him this ruler.

this book

Pen and so on. The class went very smoothly, and the students seemed to be very interested and serious about their work, until my friend turned to an Italian student and said

"Give me the key." The man looked surprised and a little at a loss. See this

My friend thinks that the student didn't hear clearly.

So he repeated. "Give me the key." The Italian shrugged his shoulders. then

He put his arms around the teacher's neck and kissed him in two cheers. A friend of mine is giving an English class to an adult student. They are all people who have just arrived in America recently. After putting many daily necessities on a table, he asked the whole class to choose a ruler, a book, a pen and so on for him. The class is going well, and the students seem to be very interested and serious about what they are doing. Later, it was the turn of a student from Italy. The friend said, "Give me the key." The man looked very surprised and a little at a loss. When my friend saw this, he thought he didn't hear clearly and repeated, "Give me the key." The Italian student shrugged his shoulders. Then he put his arm around the teacher's neck and kissed him twice on both cheeks.