Upvote:4
For example, Rome To Rio gives some possible routes.
It suggests, for example, to go through Doha or Dubai. As far as I know, as long as you do not leave the international transit area, you do not need a transit visa for Doha or Dubai.
Upvote:7
This will not answer your question directly, but the following will tell you that you can go through any Schengen country on your way. That should open up a long list of possible travel routes from India to Sweden.
A PUT (Permanent uppehΓ₯llstillstΓ₯nd, Permanent Residence Permit) for Sweden (or any other Schengen country) works the same as a Schengen Visa. That means you can travel through any Schengen country on your way to/from Sweden, even take a vacation in say Norway.
Foreign citizens with residence permits in a Schengen country, and whose identities have been properly established, may also travel freely in the zone for three months.
From the Swedish migration office website.