For the first time last year since entering Formula 1 in 2006 in its former Toro Rosso guise, the team broke into triple figures for its points tally with 107, recording only its second race victory along the way when Gasly won the Italian Grand Prix.
The points total toppled the previous best of 85 from 2019 when that season featured four more races compared to last year.
For the forthcoming record-breaking 23-race campaign, however, Tost has demanded AlphaTauri be regularly "at the top of the midfield pack".
Gasly has also urged the team to continue its upwards trajectory. He said: "I was really satisfied [with last year], but there is still room for improvement, room for fine-tuning.
"What you need over the whole year is to be consistent and to score at every opportunity. We need to see how the car goes in Bahrain and then we’ll know more. But the key will be consistency and not to make any mistakes."
While there was obvious disappointment from Gasly last year that he failed to regain the Red Bull seat he lost to Alex Albon as the team opted for Sergio Perez, he knows he performed at his maximum.
“I think last year I did a very good job and I was able to drive the way I wanted and I managed to have an excellent relationship with my engineers," added Gasly.
"We understood what the team needed, what I needed and how to work together and that’s what brought the results, and the car did seem pretty good."
Recognising the fine margins that existed between McLaren, Racing Point, Renault, Ferrari and AlphaTauri last year, he said: "Where we are in the midfield, all the teams made a lot of progress and the gaps are very small.
"We finished seventh in the championship, but there were times when we were fighting to be the fourth or fifth best car in the field. We were fighting some very good teams that have big budgets and a lot of experience.
"Last year, we had a car that allowed us to fight with them and I got through to Q3 quite often.
"This year I hope we can make a step up that will allow us to be nearer the front of the midfield.”
GPFans is a multi-platform, multi-language brand dedicated to Formula One coverage. We bring you all the ins and outs of the sport, 24/7, everything from up-to-the-minute news and features to the latest viral stories and clips.
We believe that a new generation of exciting, outspoken drivers will make F1 more popular than ever before, and we want to give our users access to as much of their heroes as possible, on and off the track. From Lewis Hamilton to Max Verstappen, Daniel Ricciardo to Sebastian Vettel, we provide in-depth analysis of every every Grand Prix in the season, from Australia to Abu Dhabi.
With Formula One under the new ownership of Liberty Media, how the sport is being covered is evolving, and GPFans will look to be at the heart of this progression into new media, as one of the fastest-growing sites covering the king of motorsports.