On both occasions the 22-year-old hit the post rather than the target - one with his head and the other with his right foot - and the match ended in a 1-0 defeat.
The fomer Hadjuk Split player has only netted three times since he was signed for around £6million last summer and is yet to get off the mark in the Barclays Premier League, in a season when goalscoring has been Blackburn's biggest concern.
But as far as Allardyce is concerned, Kalinic's progress has more than matched expectations and his performance on Thursday gave further cause for encouragement.
"I can't criticise him for the quality of his finishing," Allardyce said.
"Perhaps a couple before he's not quite struck properly or correctly, but the technique that he showed on Thursday night, particularly with the shot with his side-foot that hit the inside of the post and came out, was absolutely top quality."
Kalinic could be given a starting spot again for Sunday's league fixture against Fulham at Ewood Park as the team looks to move on from the disappointment of Thursday night and focus on the task of collecting the points that will move them away from the relegation zone.
Rovers have not won in the league since November and need someone to start scoring goals quickly, but Allardyce believes the responsibility weighs far heavier upon his more experienced forwards than it does upon the emerging talent of Kalinic.
"We have been feeding him in very slowly and we haven't been asking him to carry on doing too much," Allardyce said.
"It's a big task playing in the Premier League and an even bigger task when you're a young man coming from Croatia, leaving your home country for the very first time and trying to settle in a foreign country with a different culture and a language that you don't speak so well.
"We have been carefully grooming him. The real problems lay with the fact that we haven't scored enough goals as a team, not with Niko Kalinic. He is far from the problem - he is one we bought for the future, not for the very present.
"We felt that our strike force - Jason Roberts, Benni McCarthy and Franco (Di Santo) from Chelsea, Morten (Gamst Pedersen), (El-Hadji) Diouf, (David) Dunn - all those players were capable of scoring goals.
"But all those players haven't scored enough goals this season and that's one of the problems we have and one we have to share. Whoever the chance falls to, they have to put it in the back of the net."
Allardyce's attacking options for tomorrow are a little depleted with Roberts unavailable for selection due to a knee injury and Diouf serving a suspension.
The manager is also wary of tiredness setting in with the players facing their third game in a week, and believes an early breakthrough against Fulham will be crucial.
"We have had a game on Monday (against Manchester City), a game on Thursday and now a game on Sunday," Allardyce said.
"We will do the very best we can, but obviously Fulham haven't had a game and that is a little bit of a concern to us.
"They will be that much fresher but we will have to make sure that we give as much effort as we can.
"I'll have to give thought to the substitutions, based on the fatigue of the players as the game goes on, more than at any other time. That will play a key part.
"We have got to try and get our advantage and get it early and then if we dip off later in the game, we've got something to hold on to."
Source: Team Talk
Source: Team Talk