Is the main mall close to Downtown - just 30-40 min from Colosseum.
In here you can find the most popular commercial brands as H&M, Zara, Bershka, Disney Store, Swatch and many many more. You will find as well a theatre (UCG Cinema), the notorious Decathlon (if you're looking for sports stuff) and a huge supermarket.
About food: restaurants, gelaterias, fast foods (McDonald's in tha house) and cuisines from the world.
Problems with your Apple items? They have an Apple store!
Viale Carmelo Bene, 495, 00138 Roma RM, Italy