I have a MS SQL database in the same network but in other computer. Using the SQL Server Management Studio (SSMS) Express, I can find the database and connect without proble
Try specifying the port:
import pyodbc
server = r"xxxER\xxxSQLSERV"
db = "xxxDB"
user = "xxx"
password = "xxxx"
port = "1433"
conn = pyodbc.connect('DRIVER={SQL Server};SERVER=' + server + ';PORT=' + port + ';DATABASE=' + db +';UID=' + user + ';PWD=' + password)
If you're still having issues, try using the IP or FQDN of the server.