[Plugin: WordPress Importer] Clean install, no plugs yet – Importer not working

a small file 164KB to import. Memory Limit is 128M.
Keep getting the failed message [not able to allocate etc.etc.]

Did an import yesterday on another domain, also a clean install, no plugs yet [except of course the included Askimet but not enabled yet either]
smae file size was imported without a hitch.

Today I worked on that new domain, and tried already several times.
Cleared every cache possible, incl. browser etc. too – still same – cannot import ??

https://www.ads-software.com/extend/plugins/wordpress-importer/