Uruguay government will reopen borders for tourism to European Union nationals. (Airline Geeks, 21.08.2020)

Some international flights are operating. All non-resident foreigners entering Uruguay must have proof of health insurance that covers suspected or actual coronavirus. Upon arrival, passengers will need to either present a negative coronavirus test taken maximum 72 hours before travelling. You will not be allowed to board if you do not have this. Upon arrival you are legally obliged to go to a declared address to carry out a 7-day mandatory quarantine. On day 7 of the quarantine you will be required to have a second swab taken and wait for a negative result before being allowed to finish your quarantine period. Alternatively, you can quarantine for 14 days without having to take the second test.
For full details (in Spanish) see Ord 649/2020 condiciones de ingreso al país . There is a
weekly ferry service on Fridays between Uruguay and Argentina via Buquebus. All travellers are required to comply with the entry requirements

The population has been asked to maintain social distancing, including through working remotely, avoiding public transport and large gatherings, and staying at home as much as possible. Police officers will be urging people to avoid crowds. There are a number of other measures in place, including:
the suspension of all public shows and equestrian events; the closure of public buildings such as museums and libraries; gradual reopening of public and private education centres; the introduction of maximum pricing for indispensable hygiene products and the removal of taxes from multiple products.

Self-isolation at own accommodation.

Upon arrival you are legally obliged go to a declared address to carry out a 7-day mandatory quarantine. On day 7 of the quarantine you will be required to have a second swab taken and wait for a negative result before being allowed to finish your quarantine period. Alternatively you can quarantine for 14 days without having to take the second test.

COVID-19 negative certification required for entering the country.

Passengers will need to present a negative coronavirus test taken maximum 72 hours before boarding at origin. You will not be allowed to board if you do not have this.
Enhanced screening at airports.