In order to fight any further diffusion of COVID-19, people are advised to be very cautious when meeting others, even outdoor. A distance of a meter or so must be kept - and a face mask (better if surgical) worn - in case of any personal encounters.
.:. Milan and Lombardy are still at risk, though bars, restaurants, shops and even museums began reopening from June 3. Schools started again on September 14. Yet, though we kept our fingers crossed, a new lockdown has been enforced starting from November 5.
.:. Official news at the YesMilano website.

.:. art / Giacomo is back 
from April 23, 2015
reopened from May 22, 2020
locked down till December 3 at least
  Mon-Thu 9am-7pm; Fri, weekends and public holidays till 8pm

slideshow .:. The great Bergamo art gallery on duty again. read more 

Accademia Carrara
Accademia Carrara
Bergamo
 map

Euro 10, visit to temporary exhibitions included
reservation required
[+39] 035 270413

.:. art / from wines to heaven *
from September 15, 2000
reopened from May 22, 2020
locked down till December 3 at least
  Tue-Sun 10am-6pm, closed from December 24 to January 31

A villa and its contemporary art collections. read more 

Collezione Panza di Biumo
Villa Menafoglio Litta Panza
Varese
 map

Euro 13 (Euro 6 for FAI and National Trust members)
online reservation required
[+39] 0332 283960

 art, photography, design / more exhibitions out of town

Fornasetti Theatrum Mundi
June 3, 2020 through February 14, 2021
locked down till December 3 at least

Not only dinner plates...

 Palazzo della Pilotta
Parma
 map

Euro 10 / Euro 8

Design! Oggetti, processi, esperienze
November 7, 2020 through February 14, 2021
locked down till December 3 at least

Archizoom, Bellini, Boeri, Castiglioni, Mari, Mendini, Sottsass...

 CSAC Parma
Parma
 map

Euro 5 / Euro 3

Etruschi. Viaggio nelle terre dei Rasna
December 7, 2019 through November 29, 2020
reopened from June 5
currently locked down

You don't know enough about them.

 Museo Civico Archeologico
Bologna
 map

Euro 14 / Euro 12