Rather than start a pissing contest about how fine a pitch people can work at or how much equipment they have, to the task at hand.
As some have said, TQFP32 ain't too bad. Here's how I do it. Use either solderable enamel wire or relatively thin insulated single core wire - like kynar. Worst case, 1/0.6mm single core.
Cut off more than enough, use tweezers to roughly hold one end where it should go, fingers hold the other end to gauge the length required.
Cut and strip insulation ~2-3mm of both ends.
Tin both ends.
Dab of flux on the pin you wish to solder too,
Holding the wire with tweezers, place the tip of the wire on the top of the pin you wish to solder to. (end of wire butted up against the plastic package)
Get a small blob of solder on the tip of your iron, about 1mm across.
dab the blob onto the wire (which is sitting on the pin), let flux do its job.
Keep holding the wire there for a couple of seconds.
Do other pin.
For convenience, tack down the to the PCB with a tiny spot of superglue, or preferably Kapton tape.
What really helps:
Solderable magnet wire, or more popular, Kynar wire (insulation doesn't shrink/burn when the iron touches it).
Jelly flux, applied with a needle.
I have never used a microscope - but then I only do rework every couple of months so it isn't worth the investment.
Example of the solderable enamel work:
http://elm-chan.org/docs/wire/wiring_e.htmlExample of using kynar wire:
http://jeelabs.org/wp-content/uploads/2015/04/DSC_50201.jpg