Brazil, the record five-time World Cup champions, currently sit in fifth place in the Conmebol standings with 18 points. They are just one point behind both Colombia and Ecuador, following their second consecutive draw in the competition.
Uruguay are second on 20 points, five behind leaders Argentina.
The top six will automatically qualify for the World Cup in the United States, Mexico and Canada.
Dorival, who took charge in January, said his side had made plenty of progress over the year, even if the results do not show it.
“Even if people don’t want to see it, the work is happening. Unfortunately, the results are overshadowing what’s really going on,” the 62-year-old said.
“I have confidence in our path and believe that the results will improve when we need them the most.
“I’ve lived my life that way in the clubs. They trusted, believed, and I always delivered results... with a bit more luck, one more goal would have allowed us to finish the year in second place.
“We are close to achieving the results, but we need to be patient and find the ideal team, one that will inspire more confidence in the fans.”
After a tight first half, Real Madrid midfielder Valverde opened the scoring in the 55th minute when he curled a fine long-range low shot into the far corner.
Gerson brought the hosts level seven minutes later, the Flamengo midfielder scoring his first international goal with a terrific volley after a poor clearance by the Uruguayan defence.
“I’d actually swop my goal for the win,” Gerson told Brazil’s Globo TV. “We knew it was a tough game and we wanted to win. We conceded the goal and got the equaliser.
“We’ll just have to keep working at our clubs and next year when there’s another international break we can go for it. We just have to keep working and trust in our work.”
Brazil pushed for a winner but late efforts from Luiz Henrique and Raphinha went wide as boos from home fans at the Arena Fonte Nove rang out at the final whistle.
“I think the booing is more about the result, because in my opinion we gave it all,” Raphinha said.
“I’m proud of those who played and even those on the bench. We did everything we could to get the result. We played a lot of football and we have to leave with our heads held high.”
Over in Buenos Aires, a second-half strike from Lautaro Martinez gave Argentina a 1-0 home win over Peru at La Bombonera, with the striker’s goal moving him into a tie with Diego Maradona as the country’s fifth all-time scorer.
Martinez notched his 32nd international goal 10 minutes after the break, capitalising on a fine cross from Lionel Messi to fire home a half-volley into the top-right corner.
“I’m happy because my whole family came and I always want to give my best. This year was very positive and luckily we closed it with a victory,” Martinez told local TV.
“It was a spectacular year in terms of performance, goals, games played. We have to keep playing and improving day by day.
“Everyone wants to beat us. Argentina’s national team are always the main characters. There are things to improve but we have to continue on this path.”
Peru are bottom of the 10-team table with seven points after 12 games.
“We are Copa America champions, we are first in the qualifiers. We have to be proud,” Argentina goalkeeper Emiliano Martinez said.
Colombia, meanwhile, suffered an upset 1-0 home defeat to Ecuador in Barranquilla.
Veteran striker Enner Valencia, 35, stunned the home crowd with an outstanding solo effort in the seventh minute, the former West Ham United forward breaking away from three Colombian defenders and powering into the box before slotting home.
In other qualifiers on Nov 19, there were goals aplenty as Bolivia drew 2-2 with Paraguay in El Alto, while Chile beat Venezuela 4-2 in Santiago. , AFP