In Mexico, can non-U.S. citizens and their children apply for asylum at the U.S. embassy and consulates?

One has to be physically present in the US to apply for asylum.

How can i correct a mistake in a affirmative asylum declaration after submited to the Immigration

You already have an attorney with a G-28 on file. Contact this attorney to remedy

Congratulations. You are an Asylee. When you have been physically present in the United States for at least one year after being granted asylum,...

I got RFE for my h1 transfer, stating that how my education is related to job duties. Whereas my degree is non computer backgrou

You should take the RFE to the employment immigration attorney who assisted you. This is outside the scope of this forum.

H1B Transfer denial due to specialty Occupation reason

Have you consulted with the emoloyer’s attorney on file? Every petition will be reviewed on its face for completeness and thoroughness, ergo no...

is it better to travel foreign country with both college I-20 and advance parole for safety side.??

Since you have a combo card with AP travel with that and why not have an i-20 with as well.

Can I apply for i-130 while my asylum case is still pending?

You are within your right to have your USC daughter file for you.

What is my status if I have pending Asylum?

pending asylum is one’s status when waiting a decision on asylum application.

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In N-400 form, part 8, I am continuing the same job. How am I going to fill "to (mm/dd/yy)? Thanks.

Instructions can be found visa the following link: https://www.uscis.gov/sites/default/files/files/form/n-400instr.pdf It's OK to handwrite or...

Can the political asylum process in Costa Rica interfere with my new process of fiance visa in the US ?

Only a U.S citizen can petition for a fiancee visa. Your asylum case will not have a bearing. What will is the thoroughness of your packet to USCIS.