The Börder Wåll offers a "practical, ready-made solution" to the US president's plans for a continuous barrier between the two countries, according to satirical news site The Postillon.
At just $9,999,999,999.99, the IKEA product would be a steal compared to a traditional wall, which is currently estimated to come in between $15 and $25 billion (£12 and £20 billion).
A graphic mimicking a typical minimal instruction sheet provided by the Swedish furniture giant has been mocked up for the builders.
It lists hundreds of thousands of panels and barbed-wire coils, along with millions of screws, but only specifies a single Allen key for assembly.
The Postillon suggests that the partition modules would be pressboard with a birch effect, and would connect to form a blockade that measures 33 feet (10 metres) tall and 1,954 miles (3,144 kilometres) long.
Trump first proposed the border wall as a solution to curbing immigration from Mexico during his presidential campaign. Since then, a host of designers have responded to the plans.
Mexican firm Estudio 3.14 visualised the "gorgeous perversity" of the plan by proposing a pink barrier inspired by the work of architect Luis Barragán, while Miami studio DOMO Architecture + Design created renderings of landscaped features along the border instead of a fence or wall.
IKEA's previous spoofs have included a response to a collaboration request from rapper Kanye West, for which they similarly created a version of an instruction sheet for a "Yeezy" bed – based on one shown in his Famous music video.