Ahmaud's mother, Wanda Cooper-Jones, tells us she asked attorney Lee Merritt -- who reps both her and Yarl's family -- if he could broker a face-to-face so that she could lend the Yarls some moral support during this difficult time ... as she went through something similar.

She says Lee thought it was a wonderful idea, and the wheels are already in motion for a sit-down between them in the near future -- although it's unclear exactly when. As you can imagine, Ralph is still recovering from being shot in the head ... allegedly at the hands of Andrew Lester, who was slapped with criminal charges this week and who's been arrested.

You might've heard ... Ralph was apparently fired upon last week after he rang Lester's doorbell -- mistakenly thinking it was the house his younger siblings were at. His family and family attorneys believe race was a factor ... something investigators are looking into now.

In any case ... Wanda says she thinks she can offer some good advice to both Ralph and his loved ones right now -- telling us that the loss of her son, Ahmaud, came under very similar circumstances ... which, sadly, had a much more tragic result.

She says she wants to let them know that they have her support and that they can get through this trying time ... a road she herself has obviously gone down of late. Wanda tells us she'll be praying for the Yarls through all this too ... and hopes they receive justice.

BTW, Ralph's story is already getting national attention ... including from the White House, which we're told has already reached out to invite him for an in-person visit once he's ready.