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By using nonstandard analysis, we prove embeddability properties ofdifference sets $A-B$ of sets of integers. (A set $A$ is "embeddable" into $B$if every finite configuration of $A$ has shifted copies in $B$.) As corollariesof our main theorem, we obtain improvements of results by I.Z. Ruzsa aboutintersections of difference sets, and of Jin's theorem (as refined by V.Bergelson, H. F\"urstenberg and B. Weiss), where a precise bound is given onthe number of shifts of $A-B$ which are needed to cover arbitrarily largeintervals.

Embeddability Properties of Difference Sets