Everything that has to do with outdoor activities, culture and history. A lot of activities for families with children as well as sporting nature-lovers. Here`s a (of course incomplete) list of websites where you can see the different attractions and activities to be reached comfortably by bus/car/train in a short time:

Sports & leisure for children and adults
@ 2 km: Regional Nature Park "Biosfera Val Müstair" https://www.biosfera.ch/de
@ 10 km: Sports and spa Centre Mals http://www.watles.net/en/watles/sport-spa.html
@ 14 km: Swiss National Park https://val-muestair.engadin.com/en/val-mustair/swiss-national-park
@ 18 km: Watles Mountain Fun Park https://www.vinschgau.net/en/family-holidays/for-junior-adventurers/watles-mountain-fun.html
@ 20 km: Schöneben skiing, mountain biking and hiking resort https://www.schoeneben.it/en/my-alpine-adventure/
@ 26 km: Windsurfing and kitesurfing on Lake Reschensee https://kiteboarding-reschen.eu/
Whole valley: Hiking of ancient irrigation channels with children https://www.vinschgau.net/en/mountain-holidays/hiking-mountain-tours/irrigation-channel-paths.html
Nearby: Stelvio National Park: http://www.stelviopark.bz.it/en/national-park
Mountain holidays information: https://www.vinschgau.net/en/mountain-holidays.html
Family holidays information: https://www.vinschgau.net/en/family-holidays.html
Local food and specialties: https://www.vinschgau.net/en/food-wine.html
Upon request we can find a hiking guide or a mountain bike guide for you.

For high altitude & mountain hikers (summer and winter)
@ 0 - 40 km: 3,905-meter-high Ortler mountain, Königsspitze (3,851 metres), Cevedale (3,778 metres), Weißkugel (3,739 metres), surrounded by an imposing mountain range of many 3,000+-meter peaks - https://www.vinschgau.net/en/ortles-holiday-area/mountain-holidays/hiking-mountain-tours/high-altitude-mountain-hiking.html

For lovers of history & culture
Culture and art holidays: https://www.vinschgau.net/en/culture-art.html
Whole Valley: Castles in the Vinschgau Valley https://www.vinschgau.net/en/culture-art/places-of-interest/castles-mansions.html
@ 2 km: UNESCO World Heritage Site: Benedictine Convent of St. John in Müstair https://www.muestair.ch/en/convent/convent-of-st-john/
@ 9 km: Medieval town of Glurns http://www.glurns.eu/en/informazioni/index/1-0.html
@ 33 km: Messner Mountain Museum in Sulden http://www.messner-mountain-museum.it/en/ortles/museum/
@ 60 km: ArcheoPark archaeological open-air Museum https://www.archeoparc.it/en/
@ 94 km: Museum with Ötzi the Iceman http://www.iceman.it/en/the-iceman/