The hosts took a 12th-minute lead in an enthralling encounter through Krzysztof Maczynski before goals from Shaun Maloney and Steven Naismith flipped the script.
Poland did eventually secure a share of the spoils, Arkadiusz Milik levelling in the 76th minute, soon after Wojciech Szczesny had superbly denied Maloney a second.
Strachan gleaned plenty of positives from the result, although part of him was left wondering what might have been.
He told Sky Sports: "We are pleased with a lot of what we did. We dealt with going 1-0 down and were brave enough to come and play with a lot of forwards.
"A draw was the right result. We were 2-1 up and Szczesny made a great save from Shaun.
"We are pleased with a lot of things and in some ways disappointed with just the one point. But we could have lost it too."
