Conky dual screen positioning

use xinerama_head config as suggested in this issue discussion

xinerama_head = 2,

try with different number 1, 2

You might also want to use alignment so that conky widget appears not cropped by screen border

alignment = {top|middle|bottom}_right

I finally managed to move the Conky widget to the second monitor using negative values for the horizontal gap (-1920) after choosing Bottom Right in Conky Manager. And now my desktop looks like this:

If anyone has a better solution I would consider choosing it as the accepted answer.