I’ve highlighted some of the words in your e-mail and added my comments under the quote:
marginal = low quality; substandard - sounds very negative and unfriendly. What do you mean? Short or brief? Suggestion: “Based on our brief conversations”
noticed → understood
letter of commitment → letter of intent???
contains → containing/consisting of
that letter → such a letter
did confirm → confirmed *
*they did confirm that they had received nothing → It might be better to make this part more current: “they confirm that they have received nothing”
a.s.a.p. → This is a standard abbreviation, but it might be better to make it somewhat more formal: as soon as possible / at your earliest convenience