Bolivia

Paying tribute to the hosts, Bolivia before their opening game of the 1930 World Cup. Bolivia lost this match 4-0 to Yugoslavia.
Here's how they lined up:

GK	Jesús Bermúdez	Oruro Royal
FB	Segundo Durandal	Club San José
FB	Casiano Chavarría	Calavera La Paz
HB	Jorge Luis Valderrama*	Oruro Royal
HB	Diógenes Lara	Club Bolívar
HB	Juan Argote	Club Bolívar
F	Rafael Méndez	Universitario La Paz
F	Gumersindo Gómez	Oruro Royal
F	René Fernández	Alianza Oruro
F	José Bustamante	Litoral
F	Mario Alborta	Club Bolívar

* Some sources spell his name Balderrama

Confederacio'n Sudamericana de Futbol- Copa America 1916

The first Copa America proper was played in July 1916 during the Argentinian centenary celebrations. Both Argentina and Uruguay had beaten Chile . Uruguay had beaten  Brazil but Argentina had only managed a draw against them. So the final match was the decider. Argentina had to win against their oldest rivals and closest neighbours.

The match on July 16th lasted 5 minutes before crowd disturbances caused an abandonment. 

The remaining 85 minutes were played the following day (at a different ground). It ended 0-0 and Uruguay were champions.

Héctor Rivadavia Gómez

During the tournament Uruguayan Héctor Rivadavia Gómez took the opportunity to call together a meeting of  22 delegates from Argentina, Brazil, Chile and Uruguay. They discussed the idea of forming a governing body for South American Football. The national associations were consulted and consequently in December 1916,  the first Congress was held in Montevideo. The Confederation was called  Confederación Sudamericana de Fútbol (Spanish) or Confederação Sul-Americana de Futebol (Portuguese), contracted to CONMEBOL.
The four founding associations were later joined by Paraguay (1921), Peru (1925), Bolivia (1926), Ecuador (1927) and Colombia (1936). 

Bolivia

Bolivia cannot have traveled to the World Cup in Uruguay with any great hope of success.
Their introduction to the international stage had come in 1926. In the South American Championship that year they played four games and left winless with an aggregate of 2 goals for and 24 against.
The following year they played 3 South American Championship matches and conceded 19 goals whilst scoring 3.
So they arrived in Uruguay having never won an international game. But they had an eventful, if brief tournament.  Keen to pay tribute to their hosts they played their opening match wearing shirts each emblazoned with a single letter, spelling Viva Uruguay.

In this opening fixture against Yugoslavia Bolivia had four goals disallowed and were down to 10 men after 55 mins. Yugoslavia prevailed by four goals to nil. As you can see from the picture (which I'm guessing was taken after the match, with Gomez, the injured player accounting for the missing 'U'?) the Bolivians also sported some interesting headwear. Their next opponents were Brazil, definitely a case of 'come on you whites' as both teams bizarrely wore identical shirts for much of the first half. Bolivia swapped their shirts but their fortunes were unchanged, Brazil running out four nil winners.The tournament was over for Bolivia, still without an international win to their name. For their coach, Ulises Saucedo, however, there was more action to come, as he refereed the match between Argentina and Mexico!

Thanks to JK