mettere giù

Literally, “to put down”.

méttere giù (first-person singular present métto giù, first-person singular past historic mìsi giù, past participle mésso giù, auxiliary avére)

1. Used other than figuratively or idiomatically: see mettere,‎ giù.

   Synonyms: posare, deporre

   metti giù il soprabito!

   put the overcoat down!

2. (idiomatic, intransitive) to hang up (terminate a call)

   Synonyms: staccare, riagganciare, riattaccare, riappendere

   • 2012, John Green, translated by Giorgia Grilli, Colpa delle Stelle [The Fault in our Stars], Mondadori, page 46:

     Ho fatto una risatina e ho detto: «Okay.» E a quel punto silenzio, ma non abbiamo messo giù.

     I giggled and said, "Okay." And then the line was quiet but not dead.

     (literally, “I giggled and said, "Okay." And at that point, silence, but we did not hang up.”)