Good day Bugyutsuji.
Yes, it has bronze inlays (cross, and what looks like a hill or a wave pattern, this one also on the other side).
I have checked carefully the "cross" and the length is a bit larger for the vertical part (There is rust/oxidation covering it ), so to uncover or make this symbol clearer someone has roughly cleaned it (not professionally).
Pictures where you can get a closer view. Dimensions (length, width, nakago): 6.8 x 5.8 x 2.5 cm.
Best wishes
Gerald