This piece by Battmann is a characteristic teaching work typical of the educational piano literature of the era. It relies on clear, functional textures and simple structural development.
Pay close attention to even finger articulation and clarity in the left-hand accompaniment patterns.
Comparable difficulty and character — good candidates for what to learn next.
Brises d'Italie is rated Henle level 2 of 9 — beginner repertoire, roughly ABRSM grades 2–3. In the RCM system it corresponds to about level 3.
You should be comfortable at Henle level 2 — meaning you can already play level 1–2 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Brises d'Italie lasts about 2 minutes.
Brises d'Italie is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include Basquaise by Jacques-Louis Battmann, Bourbonne-les-Bains by Jacques-Louis Battmann, Blanche by Jacques-Louis Battmann — see the full similar-pieces list on this page.