The Holy League and the Ottomans

Let's the Holy League (of the late 1600s, NOT of 1571) becomes more successful, and besides their victories in the Great Turkish War, reverse the lines of the Ottoman Empire and regain more parts of Europe?

How/if do you think this would be accomplished?
What would be the result of a defeated Ottoman Empire in southern Europe?
 
A greater defeat of the Ottomans could lead to the Austrian Habsburgs regaining the pre-Mohacs (1526) territory of the kingdom of Hungary (and Croatia) sooner.
Also Poland could (re) gain as does Venice, but I doubt they'll reach Thrace. OTOH some of the tributary states of the Ottoman Empire could become far less dependent of the Ottomans.
 
More success by the Russians beyond Azov could lead to a more vigorous reassertion of Christian Georgia but this depends on your definition of Europe and anything in that area would draw Safavid Persia into the fray.

Austria generally would prefer more defendable territory between Vienna and the Ottomans given the siege, but any expansion of Hapsburg Austrian influence will draw the ire of Bourbon France especially at when the expansion comes at the expense of the French's use of the Ottoman as a counterweight to Austria. It will also draw the concern of Hapsburg Spain and the smaller States of the HRE alliance or not. it is would also be difficult to hold much more of the Balkans at least initially due to Hungarian Independence movements.

From what I see it Austria would prefer more territory, directly ruled or vassaled to them, at the expense of the Ottomans but the Other continental powers would be loathe to let them have it.

Venice may be able to make more gains in Greece but I fear that when the holy alliance concludes it will quickly lose what gains it has.
 
@ Young Lochinvar: I agree, that Austria will want more. IOTL at Karlowitz Austria didn't gain the entire territory of the kingdom of Hungary back (they got most though). IMHO Austria regaining the entire kingdom of Hungary would have been possible, anything more would have become increasingly difficult (as in gaining more opposition).
 
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