Integrated Amp to match with Magico A3

++++ for Ayre also
the Twenty series in particular 

Maybe a bit off the beaten path and a lot cheaper than the normal selections, but I would suggest you consider something like a tube/ss hybrid like a Musical Fidelity Tri-Vista. I think TMR has one for around $2K. Mine has responded well to cable changes and fuse upgrades, adding refinement and detail. The Magicos I have heard (with either Soluution or CH Precision), were accurate but a little dry and congested, and could benefit from some warmth. Disclosure - I find myself leaning more to the wide-open sound of tubes and hi-efficiency as I am getting older, (probably losing some high frequency hearing) and everybody hears differently.  Good luck.

I purchased the Gryphon Diablo 120 with the optional DAC for my Magico A3s. I did not demo the Hegel 360 or 590, which I had hoped I could do before making my decision. I really liked the T+A 3100, but it was beyond my budget.

T+A will be a great choice if you can afford it. The Rega Osiris analog integrated amp (no DAC) will also be a great choice for the Magico A3. The Osiris is Rega's flagship integrated amp and it retails for $10k new. 

I consider it a benefit to have an integrated amp with no DAC, though it's good to have the option of adding one internally if desired. That way I would not paying for a DAC if going with an external unit. The T+A is well beyond my budget, but used ones get into the ballpark of what I am willing to spend. Thanks again, everyone, for the responses. So much to consider...   :)