Your English translation is already accurate and reads well. If you want, I can make it slightly more polished and fluid for a luxury fragrance description, like this:

Io Non Ho Mani Che Mi Accarezzino il Volto by Filippo Sorcinelli is a sharable Spicy Oriental fragrance. Launched in 2017, it combines rich, aromatic spices with warm, resinous depths.

Top Notes: Myrrh, Galbanum, Petitgrain, BergamotHeart Notes: Cinnamon, Clary Sage, Styrax, Geranium, Ylang-Ylang, CedarBase Notes: Incense, Tobacco, Benzoin, Amber, Sandalwood, Tonka Bean