No, it’s not a guarantee that if, your provisional (601A) waiver is approved, that you will not have any problem at the consulate. However, in most cases the final trip to the U.S> consulate goes very smoothly.
Remember, the grant of the provisional waiver (601A) is not a grant of legal permanent residency. With the 601A approval, you are forgiven for your unlawful presence in the U.S. You must still have to leave the U.S. to I be interviewed at a U.S. embassy or consulate to have a final approval. Art this point, you visa can be denied for several reasons.
At which time your visa could be denied for any of a number of reasons.
Even after the provisional waiver is granted by USCIS, the U.S. embassy or consulate could deny your immigrant visa and green card for reasons other than your unlawful presence. The most common problem would be that you are inadmissible on other grounds, such as past criminal convictions or a communicable disease that was discovered after you took your medical exam (which is done in your home country). In these cases, unless you qualify and apply for an additional waiver, your immigrant visa shall be denied.
After your consular interview you will receive a Permanent Visa stamp on you assort.
After the consulate has approved you for U.S. residence, your documents will be reviewed at the border. But normally at this point, you should enter the U.S. easily.
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