Travel Outside of US while H4 EAD is in progress

[aKarthick]

Hi,

Can I get some clarification on the below? I have my I-140 pending with USCIS and expecting an update in next couple of weeks (getting processed in Premium mode). Once my I-140 is approved I would like to initiate H4 EAD for my Spouse who is currently in US in H4 (current stamped H4 visa is expired and got the extension approved and valid till Nov 2019). However, due to mandated personal reason she has to travel outside of US next week. Question I have is,

1) Can she travel Outside of US once the H4 EAD application is submitted to USCIS and is in progress (assuming my I-140 is approved before her travel)?

2) Just in case if my I-140 is not approved before her travel, can she sign the I-765 form before leaving US so that I can submit the application while she is Outside of US?

Thanks