Ernest Gillet is better known for his light orchestral suites, but his piano works share that same salon-style sensibility. It utilizes a singing melody set against arpeggiated accompaniment patterns.
At Henle 4 this is an intermediate piece that expects secure technique and real attention to phrasing. The main demands: a true singing tone, with the melody floating above the accompaniment; rubato that must breathe naturally without losing the pulse; and careful pedaling — clarity depends on the foot as much as the fingers.
Beyond that, expect chord voicing — bringing out one note inside a handful of others.
Focus on subtle dynamic shading and the use of rubato to enhance the lyrical character of the piece.
Comparable difficulty and character — good candidates for what to learn next.
A level or two down with the same spirit — ideal if this piece is still out of reach.
Where this piece's skills lead: slightly harder works making similar technical demands.
Douce caresse is rated Henle level 4 of 9 — intermediate repertoire, roughly ABRSM grades 5–6. In the RCM system it corresponds to about level 5.
You should be comfortable at Henle level 4 — meaning you can already play level 3–4 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 Douce caresse lasts about 4 minutes.
Douce caresse 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 Brise du soir by Ernest Gillet, Au moulin by Ernest Gillet, Berceuse by Rudolf Friml — see the full similar-pieces list on this page.