Playing a similar pawn structure with reversed colors for black is a defense known as the semi-Slav:

          [FEN ""]
          [Title "The semi-Slav"]
          1. d4 d5 2. c4 c6 {The Slav defense to the Queen's gambit.} 3. Nf3 Nf6 4. Nc3 e6 {The semi-Slav defense to the Queen's gambit.}

The main characteristic of said structure are the pawns on `c6`, `d5` and `e6`, mirroring the ones on `c3`, `d4` and `e3` that characterize the Colle-like systems. The standard development for black also follows the general guidelines that are common in the Colle, that is, `Bd6`, `0-0` (although on some variations this move is delayed), `Ngd7` and `e4` when allowed.