The first company of Grup Fusté was Construccions Fusté, founded in Sant Andreu Salou (Girona) in the 50s - 60s by the brothers Miquel and Lluís Fusté.

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The company began focused on forestry work and earthworks, with its first investment, a tractor. Over time they invested in more machinery, until they bought the first truck and hired the first workers.

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His business grew, thanks to his dedication and effort.

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Formigons Cassà was founded in 1978, with the initial intention of covering the needs of Construccions Fusté, supplying fresh concrete. The concrete plant began to gain independence, increasing the fleet of cube trucks and new drivers, thus creating its own fleet and achieving economic autonomy.

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In 1980 Construccions Fusté obtained its first classification of Works Contractor from the Ministry of Economy; this allowed it to grow and be able to make contracts with public administrations: City Councils, Regional Councils, Provincial Councils, Generalitat, etc. This point was key to ensure the stability and prosperity of the company.

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In 1984, the hot asphalt agglomerate plant was installed and the first asphalt equipment was assembled.

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Finally, in 2002, Previsa was founded for the manufacture of precast concrete. With this addition, the range of services and products to be offered to the clientele of the entire Fusté Group was increased.