If you happen to be learning this for the Michigan Opera Theatre Concertmaster audition, the list says that this is in Act II, but it’s actually the last aria in Act I.
This aria is usually titled “Vogliatemi bene, un bene piccolino”

Puccini Madame Butterfly Act II violin solo excerpt

Recordings:

Sir John Barbirolli: Orchestra Del Teatro dell’Opera di Roma, 2002

Herbert von Karajan: Orchestra Del Teatro Alla Scala, 1997

Antonio Pappano: Orchestra dell’Accademia Nazionale di Santa Cecilia, 2000