Poglietti also had friends among Austrian nobility, among them Count Anton Franz von Collalto and Karl II von Liechtenstein-Kastelkorn, Prince-Bishop of Olomouc—in 1672 Poglietti inherited estates near their residences.
Episcopal palace of the Prince-Bishop Karl II von Liechtenstein-Kastelkorn (1664–1695) in Kroměříž: the architect was his brother Giovanni P. Tencalla, who invited him to do extensive frescoes and paintings.
He may have been born in Milan, but first surfaces in Vienna, in a letter exchange between the famous violinist Johann Heinrich Schmelzer of the Viennese court and Karl II von Liechtenstein-Kastelkorn, Prince-Bishop of Olomouc.
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Jakob Ernst von Liechtenstein-Kastelkorn, the later Bishop of Olomouc, established a Piarist college on his inherited Bílá Voda estates in 1723, a response to the 1707 Convention of Altranstädt granting religious freedom to the Silesian Protestants.