Considine was a happy man as several thousand fans turned up at Pittodrie to honour his dedication and loyalty to the Dons over 12 years.
The Dons cunningly chose a game that would provide a tricky test and keep match fitness up during the international break, and boss Derek McInnes will hope that this pays dividends in the upcoming game against Partick Thistle.
FC Twente went ahead when Clark Robertson, making his fisrt Dons start following serious injury, gave the ball away to Hakim Ziyech in the 28th minute and he scored from 15 yards.
The Dons, always ready to mount an attack, tested the Twente goalkeeper Sonny Stevens several times and but for his agility, a home victory would have been secured.
Just over 6,000 supporters were frustrated by the keeper's efforts and even more so as Shadrach Eghan put the Dutch further ahead in the 69 minute with a looping header before Lawrence Shankland, a two-goal hero for the Scotland Under-21s in Hungary the previous night, grabbed a consolation goal six minutes later.
Aberdeen had one last chance to equalise with the lively Shankland forcing Stephens into a brilliant save to keep his side in the lead.
It was a fun night for the crowd with Dons chairman Stewart Milne participating in a half-time kick-about which featured former Pittodrie stars like Arild Stavrum, Willem van der Ark and Theo Snelders, now the FC Twente goalkeeping coach.
And, as a bonus for Considine, his father Doug, a former Aberdeen full-back under Alex Ferguson, and Doug junior, once a Celtic youth player, emerged as late substitutes to share the occasion.