Christine Sinclair had a penalty saved as Olympic champions Canada were held 0-0 in their opener by Nigeria, who saw Deborah Abiodun pick up the first red card of this Women's World Cup.
The 40-year-old skipper Sinclair is hoping to make history in Australia and New Zealand by becoming the first player to score at six World Cups.
But she missed the chance to reach that milestone in Melbourne as her penalty early in the second half was saved by goalkeeper Chiamaka Nnadozie.
With few clear chances otherwise, that allowed the Super Falcons to come away with a morale-boosting draw in Group B, in which co-hosts Australia beat Ireland 1-0 on Thursday.
Canada have never gone beyond the semi-finals of the Women's World Cup but are hoping to go deep into this year's tournament on the back of winning gold at the Tokyo Games in 2021.
However, they had a disrupted build-up as the team threatened to strike over pay, funding and contractual issues.
They are also missing key players due to injury and perhaps continue to rely too heavily on Sinclair, the all-time top scorer in international football.