Can I obtain a 60-day tourist visa for Thailand with only one blank passport page that has a smudge?

Good Luck (y)

I not understand why they just put another visa at another or they can remove old one as they known your all record anyway at the computer.....

depends, but some countries around here require a visa on arrival too.

Let's count up the stamps you need to pull that off

exit stamp to thailand (the triangle stamp)

possible one page visa to another country

entry stamp to that country

exit stamp to that country

one page for the visa to thailand

entry stamp to thailand.

So you need a place to put 4 small stamps one VISA sticker and possibly another visa sticker for the country you go to so you can get the thai visa.

IF you don't have that much room I'd say nope you can't do it.