Luvigliano is a tiny village with a lot to offer, it is about 30 minutes driving from Padova and it lay in a area very rich in vineyards and agriturismo and enoteca with a great food and wine offer.
The church is a little gem, it is definitely worth a stop to take a look inside.
The Villa dei vescovi was the summer residence of Padova bishops in the XV century was recently bouth by a rich family and finally donated to Italy.
Teolo is on a hill and it is a very small village, the best quality is that, when down in the flat area it is hot and humyd, up here there is often a nice breeze and a few degrees cooler.
The center is compact and the Palazzetto dei Vicari shown in the picture was built in the 1600 as a local ruler residency.
It is now part of the Municipality heritage.
After you drove through Torreglia follow the direction for Castelnuovo, after a few curves you will see a small cemetery on the left, turn left and park the car in front of the cemetery. There is a paved trail that will take you to the old church of Torreglia, they are restoring it but it is really nice.
Keep walking and you will see some old farms and their vinejards. This is one of my favourite little walk in a fall afternoon.
The favourite activity during the good season is pack a lunch or a dinner and drive to your own best picnic spot on the hills.
During the "afa" days when the heat is top level and the humidity rate does not allow you to do much more it is very common to go there as the hills always offer several degree less and usually a nice breeze. The park provide a bunch of furnished area, they have picnic table, some have water fountain and some have barbecue facility. You can also bring your own portable tables and chairs.
Click HERE for a list of the places. (only in italian sorry)
The best activities to do in the Colli Euganei park is walk its trails. The official site provide an exhaustive list of them here List of Trails unfortunally only in italian but they say they will translate it soon.... under every trail description there is a link to a longer description and a good map.