Thanks for your precious advices!
I don't think she is undertired... I explain you her routine as the pediatrician suggested us when she started taking solids, it's a little different here in Italy for the food and timetables but we tried fixing a similar routine and do the same thing at the same hour everyday and our daughter also helped us doing it when we noticed she wanted to take a nap every day at the same time:
7 AM milk (sometimes in her sleep)
9 AM wakes up and activity
11 AM lunch (we have rice/mais/multicereal cream with fish or meat)
then activity
1 PM nap (usually 30 min or 1 hour if we are lucky)
after the nap sometimes we take a stroll outside or she plays a little until
3 PM when she has a smoothie (milk with apple, pear, banana and biscuit)
then activity again until
5 PM when she takes another nap for 30 min or 1 hour...it depends
after nap: activity
7 PM dinner
activity until
9 PM when she has milk and goes to sleep.
I wrote activity in the hours she is awake and plays with her toys or with us, it's always different: sometimes she plays quietly by her self, sometimes in the afternoon we listen to music and dance, we don't usually do activities that excites her near the nap times.
For the TV I sometimes let her watch it because I noticed she yawned and rubbed her eyes while watching it and I thought she was relaxing.
Yesterday evening it was easier to put her to sleep, I don't know if it was a coincidence:after we watched TV for 10 minutes or so I prepared her milk and we went in the bedroom. While she was eating I put on some lullabies (different from those on her music box that don't work) and 5 or 10minutes later she was asleep holding a lovey and my hand... this evening I'll try to do the same and we'll see!