Fiat Chrysler Automobiles NV Chief Sergio Marchionne is open to killing the controversial two-tier wage system that union members dislike but is unwilling to raise overall labor costs, a position that could complicate the path to reaching a new labor deal in mid-September.

"We need to make money in order to pay people as crass as that may sound," Mr. Marchionne said during Tuesday's ceremonial handshake to mark the start of contract negotiations with the United Auto Workers "The downturns in this industry are lethal enough to kill you."

Mr. Marchionne's negotiation team favors a flexible pay model, which could include higher levels of variable pay, such as performance bonuses. UAW members have been issued sizable profit-sharing checks over the past four years as auto makers returned to profitability, but banking on those checks to continue is risky given the boom-and-bust nature of the auto industry, union leaders have said.

The Fiat Chrysler talks are seen as the most contentious within the U.S. auto industry, leaving the auto maker the most vulnerable to a worker strike. Unlike General Motors Co. and Ford Motor Co., Fiat Chrysler is far less profitable, giving it less wiggle room financially to award richer pay and benefits.

The two-tier wage structure, which pays newer hires a lower wage than veteran workers, has been widely cited as helping the U.S. auto makers in hiring tens of thousands of workers since the last deal was signed in 2011. But it has also created a division among the rank-and-file, who say it is unfair to pay some workers less for equivalent work. This inequity in pay is particularly grating on the auto maker's hourly workers because nearly 45% of those working on the line are paid the lower wage.

UAW President Dennis Williams has been reluctant to call for the elimination of the two-tier system, saying instead he hopes to close the pay gap.

On Tuesday, Mr. Williams raised the possibility of adopting a more-flexible pay model—a measure Mr. Marchionne has advocated for in the past. Rather than receive base wage increases, workers would be rewarded with greater profit-sharing bonuses if the company is doing well financially.

"We are interested in how do we do a cost structure to enhance all members' ability to have a higher standard middle-class living and yet have flexible and variable play," the union chief said.

The Fiat Chrysler handshake comes a day after the UAW started talking with GM. Unlike the GM presentation, the opening was warmer and more personal, with Mr. Marchionne giving Mr. Williams a hug, rather than a traditional handshake. Mr. Williams at one point referred to Mr. Marchionne as a "good partner" and "friend" while crediting his work for turning around the company following its 2009 bankruptcy.

The UAW and Ford will hold an opening handshake on July 23.

At Fiat Chrysler the UAW wants to secure a pay raise for veteran workers and wants to close the wage gap for new hires who now make about $12.25 an hour less than veteran workers. Veterans earn $28 an hour while new hires start at $15.78 an hour.

"New hires have hired in at what we would call entry level and their future seems somewhat bleak," Mr. Williams said. "Many of them feel like second-class citizens."

Mr. Marchionne said eliminating the two-tier wage system may not happen during this round of negotiations.

"We will do our best to try to get there," Mr. Marchionne said. "People who do the same work should get paid the same amount. Anything that creates two classes of people is unsustainable."

Fiat Chrysler enjoys lower labor costs than its crosstown rivals due to a higher percentage of lower-paid workers.

Separately, Mr. Marchionne said he is still looking to merge Fiat Chrysler with another auto maker but such a deal can't impact the company's manufacturing workforce. He said it isn't a "slash and burn strategy."

Sitting next to Mr. Williams, Mr. Marchionne said the union would be consulted before any tie-up took place.

"Whatever happens in terms of consolidation, it will never be done without the consent of the UAW," Mr. Marchionne said.

Write to Jeff Bennett at jeff.bennett@wsj.com and Christina Rogers at christina.rogers@wsj.com

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