The Scottish champions were one of the unseeded teams in Monday's draw, with their Danish counterparts the lowest-ranked side among the seeds.

"I did say before the draw I'd like a tie that gives us some sort of chance to make it through," Booth said.

"But we still have a tough tie against Brondby, who are a good side."

Brondby have reached the semi-finals three times but were knocked out by Norwegian side Lillestrom at the same stage a year ago after defeating Juventus.

It is also the second season in a row that Glasgow have reached the last 16 and Booth was keen for a favourable draw "because we want to keep this Champions League adventure going".

Booth's side were beaten 8-0 on aggregate by Barcelona last season, but the Spanish champions were this time paired with last-16 debutants Minsk of Belarus.

Glasgow host the first leg at Petershill Park, with Booth suggesting the most likely date is 17 October, with the second legs scheduled for 30-31 October.

"Brondby are a team that are consistently at this level of the competition, but I know through experience that teams getting through to this stage are good teams with players who can hurt you," he told BBC Scotland. "They are generally all full-time and we are not a full-time team."

Glasgow, who were the first ball out of the bowl, avoided an all-British meeting with Scotland midfielder Caroline Weir's Manchester City, who were drawn against Atletico Madrid for a second year running having lost to the Spaniards in last season's round of 32.

The English side and Arsenal were the last two balls left in the bowl, but organisers had already decided that two sides from the same country could not be in opposition.

English champions Arsenal, who were also unseeded and have four Scotland players in their squad, were therefore placed against Slavia Prague, who ousted Hibernian 9-2 on aggregate in the previous round.

Holders Lyon take on the other Danish representatives, Fortuna Hjorring.

Who are Brondby?

Brondby are managed by 45-year-old former Denmark defender Per Nielsen, who spent his whole career with the men's side.

They have won their national title three times in the last five years and have reached the Champions League semi-finals three times.

Brondby last went beyond the last 16 in 2015, when they were hammered 13-0 on aggregate by Frankfurt in the semi-finals.

They have lost in the last 16 in the previous two seasons - 2-1 on aggregate to Manchester City two years ago and then 3-1 by Lillestrom.

Brondby last played a Scottish side in the qualifying round of 2003-4, beating Kilmarnock 2-0.

Women's Champions League last-16 draw

Glasgow City v Brondby (Denmark)

Barcelona (Spain) v Minsk (Belarus)

BIIK-Kazygurt (Kazakhstan) v Bayern Munich (Germany)

Lyon (France) v Fortuna Hjorring (Denmark)

Paris St-Germain (France) v Breidablik (Iceland)

Wolfsburg (Germany) v Twente (Netherlands)

Slavia Prague (Czech Republic) v Arsenal

Manchester City v Atletico Madrid (Spain)