His was a concrete and exemplary case of those private initiatives for the colonization of America, who, with his experience and military discipline, organized at his own expense a Company that would initially go to Tunisia, but the organization of said campaign was prolonged, so it ended on the voyage of discovery and conquest alongside the Adelantado of Canary Islands, Pedro Fernández de Lugo, who signed capitulations, and in compliance with which they had to find a land path to Peru and the origin of the Magdalena River, but ended up discovering the Muisca and founding the New Kingdom of Granada.

[2] Gonzalo Suárez Rendón was awarded one of the last paintings of Raphael, known as "La Madonna de Bogota" by Emperor Charles V as a war trophy for his service after the Battle of Pavia.

The days were exhausting, with difficult daily marches in swamps and mangroves and numerous sacrifices and calamities lurking in torrential rains and a scorching sun.

The objective of this expedition was initially to find a way to Peru, in addition to exploring the territory, the search for riches that were thought to be treasured by the primitive settlers.

Following the course of the Opón River, they ascended towards the eastern mountain range, arriving at the current location of the city of Vélez and making contact with the Muisca people.

Of the 800 expeditionaries who had left Santa Marta, only 180 managed to reach the Cordillera region alive, where the city of Santafé de Bogotá was founded on August 6, 1538.

As was mandatory, the layout was organized, the land to be occupied by the church and other administrative dependencies was marked out, and lots were distributed among the conquerors who took part in the foundation.

For 4 years, Suárez Rendón was the chief justice of the newly founded city, and as the person in charge of its development, he dedicated himself to equipping it with the most essential things, making it prosper and maintaining order among the indigenous people who did not willingly accept coexistence with the Spaniards.

Suárez Rendón and the first members of the council (cabildo) managed to get the Royal Audience of Santo Domingo to find a solution to the problem and in 1546 the Extremaduran captain Francisco Ruiz departing from Cumaná, on the Venezuelan coast, with 60 soldiers traced a path that, passing through El Tocuyo, reached Tunja.