How far west can the Timurids get?

After playing a lot of EU4, this idea came into my head.

Counting vassals, clients, and puppets, how far west can the Timurids get, with a POD no less than 1350?

An idea I had, is that they could possibly expand from Persia to Northeast Arabia (although it might be hard).
 
After playing a lot of EU4, this idea came into my head.

Counting vassals, clients, and puppets, how far west can the Timurids get, with a POD no less than 1350?

An idea I had, is that they could possibly expand from Persia to Northeast Arabia (although it might be hard).

If by Northeast Arabia you mean Kuwait, it did span over that territory in OTL under Timur. So in case that is what you mean, a quick list of the lands the Timurids ruled at their height:

Transoxiana, Khwarezmia, Ferghana, Badakhshan (All of the modern Central Asian republics except Kazakhstan), with it's border somewhere around the Kyzyl Kum, perhaps as far north as the Jaxartes (Syr Darya)

Persia, Baluchistan, Khorasan, Azerbaijan, Iraq (Modern Iraq, Afghanistan, Iran and most of Pakistan west of the Indus river)

Armenia, Georgia, Dagestan, Kurdistan (everywhere as far west as the border with the Mamluks in eastern Syria and an area roughly equivalent to modern Kurdistan being their western border).


OT: I think the Timurids at best could hope to expand further into India during their wars against the Delhi Sultanate, and further west into Anatolia, best case scenario causing the Ottomans to fall apart and the various Beyliks being subjugated as vassals but not losing their independence entirely.
 
If Timur wasn't so preoccupied with invading Ming China, he definitely could have pushed into Arabia and possibly into Egypt
 
Tamerlane's armies went all the way to the Hellespont in OTL. Totally obliterating Ottoman power in Anatolia was obviously plausible, and they could have had help from other Turkish dynasties should they have wished to accept it.

In OTL the Byzantines were not willing to help the Timurid armies cross the Bosporus into Europe. The Byzantines might well have been right to refuse, but if they had gone along with the request, it's possible that the Timurids would have finished the Ottomans off and taken all their territory. Once again, there were plenty of local enemies of the Ottomans who could have been persuaded to join in.

That stretches Timurid territory a long way from its base. The Timurids would have to decide which territories to keep for themselves and which they would allow vassals to rule, and I would not expect them to abandon Eastern territories so that they could hold the Balkans.
 
I'd say the Balkans or maybe even Italy. It isprobably Impractible to say any further into Europe. For the Timurids, the best chance to go west would probably have to be North Africa. Following the coast, they could probably have gotten to Modern day Morrocco and cross over to Iberia.
 
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