Bombardamento literally translates to "bombardment". It's a strong and evocative word that isn't commonly found in everyday Italian songs, making it stand out.
In the context of the song, the lyric "Non ti smuoverebbe un bombardamento" (A bombardment wouldn't budge you) is a powerful metaphor. It describes the emotional unresponsiveness of the person being addressed, suggesting they are so stoic or distant that even an extreme event like a bombardment wouldn't provoke a reaction from them. This dramatic imagery makes the word memorable and highlights the intensity of the singer's feelings.
"In Due Minuti" ("In Two Minutes") is Marco Mengoni's raw look at loving someone you can't let go of, even when it hurts to keep loving them.
The singer swings between hating this person and still feeling them everywhere, "under the skin." He begs her to stop talking so they don't hurt each other any further, admits he thinks about her for hours, and promises that if she ever needed him, he would come find her wherever she is.
The title comes from the chorus: he imagines he could burn through everything he feels and drown "in two minutes," if only forgetting her were that fast and that easy. It isn't really about erasing her. It's about how sudden and total heartbreak can feel, and how badly he wants relief from it.
By the end, the same lines about tomorrow, chasing after her, and asking where she is keep repeating, like a thought he can't stop circling back to.