can i stay 2 days in shanghai, 7 days in taipei and another 2 days in beijing ?

My plan is to fly from Milano to Shanghai, and to visit the city for 58 hours. Then, leave to Taipei and stay there for 1 week. Then, fly to Beijing and visit the city for less than 48 hours and then fly back to Milano. I hold an Italian passport. My question: Is it ok to use twice the 72-hour transit permit in the same trip ?