Martín Satriano scored twice in the opening half before Zaid Romero extended the advantage early in the second period. Omar Mascarell pulled one back for the visitors, but it was too little and too late for a Mallorca side whose relegation situation has worsened considerably with two rounds remaining.
Getafe sit seventh on 45 points. Whether seventh constitutes a Europa League place this season will depend on the outcomes of the FA Cup and Conference League finals — the top seven could qualify for European football if a domestic cup winner is already inside the top five.
Bordalás chose not to look beyond the next game.
"We are close, obviously, to achieving something unthinkable. But we must go step by step. We have to recover the players and think about Elche, which is going to be extremely difficult. There is something really important at stake and we have to go step by step, enjoy the great game we played, but not switch off — there are teams fighting for important things and winning at this stage is very hard."
He was effusive about the collective effort.
"I have no words to describe the extraordinary things this team is doing. They believe in the work despite the difficulties. We are delighted to be close to achieving something unthinkable, but we come from suffering a great deal, from many great difficulties. They have always believed in the daily work, and the coaching staff have succeeded in instilling that mentality. It has been proof of that work and that effort."
On Satriano, the Uruguayan striker signed on loan from Internazionale who has been one of the second half of the season's better performers in LaLiga.
"We are very happy with Satriano. He has come with a high level of commitment and his effort and work are being rewarded."
Allan Nyom, the veteran Cameroonian who had been waiting for a first start in some time, was singled out for praise after driving the move that led to the opening goal.
"Nyom has been due a game for a while — I was wrong not to have played him sooner. He is a formidable player and teammate. He set up the first goal. Damián is doing very well in the reserve team and I could see he was ready to play — he was calm, he read the game, he had composure. What these boys are doing is extraordinary."
On goalkeeper David Soria, who has played through injury and illness throughout the campaign.
"He has played with discomfort, with difficulties — the last home game with a fever. He has always been there to help. He is phenomenal not just on the pitch. I have a great deal of affection for him. He is an exceptional person."
Bordalás also acknowledged that safety is now mathematically confirmed, but placed the significance of survival in context.
"Having had so many difficulties has helped us learn to suffer and be in extreme situations. That is also a success — never having been in the relegation zone against squads with considerably greater resources than ours. The game in Seville at the start, the game at San Mamés. Those kept us alive."
He deflected a question about the possibility of qualifying for the Conference League.
"Right now I do not want to talk about that possibility. Now we rest and prepare, in record time, the game we have in Elche. It will be maximum demand and maximum difficulty."
On his own future, a question that has circulated throughout the season given his contract situation.
"We are focused on this final stretch. I said the other day that we have time. Now we are focused on day by day, finishing as well as possible and as high as possible."