The phrase 'curl across' is correct and usable in written English.
It is typically used to figuratively describe something which spreads or moves across an area in a curved shape. For example, you could say, "A gentle breeze curled across the lake, rippling its surface."
Silhouette forms resembling sperm-whale fetuses twist and curl across a light-colored ground.
Most magically, cantilevered passageways curl across the front facade like an enormous hand.
Meekyoung Shin's painstaking replicas of antique Chinese vases feature hand-painted warriors and ornately scaled dragons that curl across brilliantly coloured bowls in blues, yellows and reds.
Cacciola, a year younger, favored skinny jeans and half-buttoned blouses, styled her black hair in an undulating curl across her forehead, and wore lipstick and eyeliner like the older girls.
In rich oranges and reds and elegantly textured blacks and grays, lichen species sprout and curl across the pages in ways that invite admiration even from the many without the slightest previous interest.
Carved antelope curl across smooth stones, cavorting round runic inscriptions, and on the central dais, five austere pillars drop fat, black-fingered shadows over the yellowed stone and sand.
Taha, who had gentle eyes and a mustache that curled across his upper lip, was born in Sudan.
The most striking, and abundant, of these motifs was a slithering snake that the designer Manuel Facchini showed curling across short dresses and climbing up leggings.
Forecasters said the slow pace of intermittent rainfall made flash flooding unlikely as the storm curled across the drought-scarred parts of the Midwest.
How did Maximus keep his hair always at the perfect length, and who twirled those little kiss curls across his brow?
So I've chosen red – the colour of anarchy, along with black – for the quotation, which curves and curls across the sea picture like a wave.
