Can I travel outside Thailand while my Non-O visa extension is being processed?

You certainly can travel during the under consideration period, but I would get a new re-entry permit OR at least check with the officer when you stamp OUT of the country if that old re-entry permit tied to the existing extension is still valid if you come back before your under consideration stamp runs out As a rule once you apply for an extension the re-entry permit which was tied to your old extension is not valid any longer for re-entry and people have said they had to buy a new one that just was valid for the under consideration period.

Also, it's better to mention your schedule for a trip abroad to your local immigration office during the under-consideration period in advance if you really travel. Depending on the office, sometimes they want to check with you (home visit, interview, etc.) during that time, and you will not want to miss that if they do.

What about the possible home visit, or if uou are called back to.immigration due a query.

What about the possible home visit, or if uou are called back to.immigration due a query.

Also, it's better to mention your schedule for a trip abroad to your local immigration office during the under-consideration period in advance if you really travel. Depending on the office, sometimes they want to check with you (home visit, interview, etc.) during that time, and you will not want to miss that if they do.

You certainly can travel during the under consideration period, but I would get a new re-entry permit

OR

at least check with the officer when you stamp OUT of the country if that old re-entry permit tied to the existing extension is still valid if you come back before your under consideration stamp runs out

As a rule once you apply for an extension the re-entry permit which was tied to your old extension is not valid any longer for re-entry and people have said they had to buy a new one that just was valid for the under consideration period.