The Bufori La Joya was the first coupe-style Bufori model, originally known as the Madison in Australia when production began in the late 1980s. The name "La Joya" means "the jewel" in Spanish, perfectly describing what the car stands for – precious and unique like a rare diamond. It was also the first Bufori built to international specifications, complying with stringent European type approval standards, and was introduced at the New York Motor Show in 2004. The La Joya rapidly became sought after by collectors and enthusiasts worldwide.

The Bufori La Joya is powered by a 2.7-litre V6 petrol engine producing 170 hp (127 kW) at 6,000 rpm and 245 Nm of torque at 4,000 rpm. It features a 4-speed automatic transmission with Tiptronic function and is rear-wheel drive. The engine is mid-mounted and naturally aspirated, with a compression ratio of 10:1. The car accelerates from 0-100 km/h in 7.8 seconds and has a top speed of 200 km/h.

The Bufori La Joya has a combined fuel consumption of 9.1 litres per 100 kilometres, with city consumption of 11.8 L/100km and highway consumption of 7.8 L/100km. It has a large 80-litre fuel tank, providing an average driving range of 879 km on a full tank. The engine uses Premium ULP (95 RON) petrol and meets Euro 4 emission standards.

The Bufori La Joya features a body constructed of carbon fibre and Kevlar composite material, which is both lightweight and ultra-strong. The chassis is a spaceframe monocoque structure with double wishbone independent suspension on both front and rear axles. This combination provides excellent rigidity while keeping weight down – the kerb weight is 1,490 kg.

The Bufori La Joya measures 4,330 mm in length, 1,807 mm in width, and 1,365 mm in height, with a wheelbase of 2,800 mm. It is a 2-door, 2-seater coupe with a mid-engine layout. The front and rear track width is 1,535 mm, and the ground clearance is not specified but the low-slung design emphasizes its sports car character.

The Bufori La Joya features double wishbone independent suspension on both front and rear axles, with adjustable dampers for a balance of comfort and handling. For braking, it uses ventilated disc brakes on all four wheels with ABS and Electronic Brakeforce Distribution (EBD). The parking brake is foot-operated. The car also features traction control and a tyre pressure monitoring system as standard.

The Bufori La Joya rides on 17-inch alloy wheels with tyre size 255/40 R17 on both front and rear axles. The front rim is 17×7.0 inches, and the rear rim is also 17×7.0 inches. The tyres are high-performance road tyres designed to complement the car's handling characteristics.

The Bufori La Joya's cabin is exceptionally opulent. It features carpets made of Persian silk, a dashboard laid with French-polished burr walnut wood, and 24-karat gold-plated instrument bezels. The seats are trimmed in full leather, with ventilated and heated functions for both driver and passenger. Other interior features include a wood/leather steering wheel, a cooled glovebox, cruise control, and an electric anti-glare rear view mirror.

The Bufori La Joya comes with a driver's airbag as standard (passenger airbag availability may vary by model year). Safety features include ABS with Electronic Brakeforce Distribution (EBD), traction control, electronic stability control, and a tyre pressure monitoring system. Seatbelts feature pretensioners and load limiters for the front row. The car also has front fog lamps for improved visibility in poor weather.

The Bufori La Joya is designed for collectors and enthusiasts who value exclusivity, handcrafted quality, and classic retro styling. Each car is custom-built to the specific requirements of its owner, with buyers able to choose their own colour schemes, interior materials, and even add personal signatures or jewels. With only 20-25 units produced annually, the La Joya appeals to ultra-high-net-worth individuals who want a unique "piece of art" to drive – described by Bufori as "a piece of jewellery that they're driving around in". It competes with boutique sports cars from Morgan, Wiesmann, and other low-volume manufacturers.